Journal of Engineering Science and Technology Review 10 (6) (2017) Research Article

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1 Jestr Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 Research Artcle Cooperato of the Spatal Iterpolato Algorthm for the Cotour Map of the Shockwave Overpressure Fel Yogl Zhag, Tal Ha,*, Hog Lu, Xao Wag a Eku Zhag JOURNAL OF Egeerg Scece a Techology Revew School of Electrocs a Iformato Egeerg, Chagchu Uversty of Scece a Techology, Chagchu 00, Cha School of Optoelectroc Egeerg, Chagchu Uversty of Scece a Techology, Chagchu 00, Cha Receve 9 August 07; Accepte 6 December 07 Abstract Tratoally, the peak overpressures of mult-pot shockwave are obtae through the sesor array by usg the electrometrc metho, a the the surface terpolato s carre out by the mathematcal moel to raw the cotour les of the shockwave overpressure fel. The cross-valato metho of the mea absolute error (MAE), mea relatve error (MRE), a root mea square error (RMSE) was propose ths stuy to acheve hgh precso a effectve terpolato of the cotour les. The quattatve test of Key-Graham Formula was verfe, a the peak overpressures of the mult-pot shockwave of a 7.6-mm calber gu a a aval gu were obtae through the sesor array base o polar coorate. The, the shockwave overpressure fel was terpolate by the verse stace weghte (IDW) terpolato, the orary krgg terpolato(ok), the raal bass fucto (RBF) terpolato, a the cubc sple (CS) fucto terpolato, Fally, cross-valato aalyss was performe o MAE, MRE, a RMSE. Results emostrate that the MAE of the RBF terpolato s 0.08, a the MRE s The error s smallest, the accuracy s hghest, a the terpolato effect s closest to the shockwave fel moel. The OK terpolato s close to the RBF terpolato. The MRE of the CS terpolato s 0.54, whch s relatvely large. The RMSE of the IDW terpolato s 4.68, whch s abormal. The RBF terpolato s the optmal terpolato algorthm for the shockwave overpressure fel, whch proves a referece for the cotour rawg of the shockwave overpressure fel. Keywors: Shockwave overpressure fel, Cotour-map, Space terpolato, Cross-valato. Itroucto Cotour les are geerate base o the spatal terpolato theory of computer graphcs. For the screte strbuto a some regular geometrc varable values or physcal quattes, the pots wth the same values are terpolate a the cotour les are raw by a mathematcal metho to express the physcal strbuto clearly a tutvely. The servce a safety performace evaluato of the shockwave overpressure fel usg the covetoal weapo approval test s coucte to prove relable scetfc bass to assess the amage effcecy of weapos a equpmet a etfy the requre mateace. I the exstg lterature, the tal establshmet of the theory of shockwave moel proves the bass for the precto of the overpressure a the rawg of the cotour le of the shockwave overpressure fel []. Prevous stues showe that the test of the shockwave overpressure fel to obta the overpressure value of the sesor array at fferet pots a raw the cotour les by the terpolato algorthm was maly base o the electrc metho []. Iterpolato compesates for the efcecy of spatal observato ata pots. It geerates the strbuto of ata pots wth regular spacg the rage of orgal ata strbuto, accorg to certa gr halg metho (mathematcal *E-mal aress: hatl@6.com ISSN: Easter Maceoa a Thrace Isttute of Techology. All rghts reserve. o:0.50/estr.06.4 moels) for calculato. The sesor arrays shoul be arrage a Cartesa coorate system, but the polar coorate system ha better applcablty gve the lmte space area of the weapo []. The shockwave overpressure ata obtae by a sesor array a polar coorate system showe ueve strbuto, whch affecte the accuracy of the tratoal cubc sple (CS) fucto terpolato a resulte the cotour error [4]. Data characterstcs greatly fluece the terpolato algorthm a the fferet optmal terpolato algorthms for fferet types of ata [5]. I the exstg lterature, oly the CS fucto terpolato was use to stuy the shockwave overpressure fel; the error was ot evaluate. The shockwave overpressure fel obtae by the electrometrc metho has the characterstcs of less measuremet pots, umercal chages, a sparse ata, etc. Further stuy a evaluato of fferet terpolato algorthms are requre to obta hgh precso shockwave overpressure cotour map. The preset stuy ctes the four types of terpolato algorthm for the shockwave overpressure fel o surface terpolato a the statstcal metho of cross-valato, whch s use to compare the terpolato results to obta the optmal terpolato algorthm.. State of the art The fferet types of shockwave overpressure fels have bee teste recet years. The mprovemet of test

2 Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 techology a computer smulato capablty guaratees the accuracy of the overpressure peak a the further uerstag of shockwave physcs moel. Zhao Hatao et al. programme the ar exploso umercal smulato program a compare t wth the commercal software AUTODYN. The ar blast shockwave propagato was coucte to verfy the emprcal formula, but the shockwave overpressure fel formato was ot aalyze [6]. Zhag Yuapg performe the ear-grou pot source exploso test of the sgle recto of pots through a sesor array by usg the electrometrc metho, a euce the TNT equvalet by curve fttg wth fferet pot pressure values through the emprcal formula,. However, the smlarty measuremet precso a other agles were ot explae [7]. The mult recto test of the ear-grou pot source exploso was coucte by Feg Hao to obta a sgle quarat peak overpressure of shockwave, through the mprovemet of the polar form a lay out of o-uform agles a fferet ra of 5 test pots. The cotour les were raw wth CS fucto terpolato, accorg to the smlarty law. However, the terpolato precso was ot stue [4]. Wag Yag et al. aalyze the physcal moel of the pot source exploso a muzzle shockwave of heavy-calber weapos, a obtae the tal a the overpressure peak cotour through umercal smulato. However, the grou reflecto a far-fel coto of shockwave were ot cosere [8]. La Fuwe et al. teste the meum a far fel shockwave of heavy-calber weapos (aval gu) through the sesor array a polar coorate system, obtae the 5 potes peak overpressures, a plotte the shockwave overpressure cotour by cubc sple terpolato. However, the terpolato error was ot quatfe []. The shockwave of mor-calber weapos was smulate a teste to obta the correspog characterstcs of shockwave propagato by Hrstov, but the effects of fferet terpolato algorthms o the shockwave cotour were ot aalyze [9]. Rehma smulate the pulse ose of the weapo to valate the wave propagato characterstcs, a prove a referece for the cotour plot the shockwave far fel [0]. Data types a umbers have the greatest mpact o the effect of terpolato algorthm a cotour rawg, especally the umber of value pots [, ]. Tugrul et al. stue the verse stace weghte (IDW) terpolato algorthm, whch elmate the uck egg effect wth fferet weghtg coeffcets. However, the ata type fluece was ot aalyze further [, 4]. Kerry a Roger trouce the prcple of krgg terpolato algorthm a verfe the applcato of fferet algorthms, but the effects of umber were ot suffcetly stue [5, 6]. Poueroux a Dehgha coucte a eep research o the raal bass fucto (RBF) terpolato a smoothg, trouce the steps for two-mesoal terpolato, a pote out that the RBF terpolato ha the best effect, thereby provg a referece for the terpolato algorthm [7-9]. The settlemet of fouato tch was aalyze base o the fftee observato pots by usg the IDW terpolato, krgg terpolato, a Shepar terpolato. The cross-valato result showe that the accuracy of the IDW terpolato s the hghest [0]. However, ths cocluso s ot accurate for the shockwave overpressure fel, because the overpressure value of the shockwave a the settlemet volume are fferet from the sgle pot source fluece ata. Cheg Peg use the ural temperature of twety-seve weather statos to terpolate the aual average temperature of the Shax plateau by eght types of spatal terpolato, clug verse stace weghtg, global polyomals, local polyomals, raal bass fuctos, sple fuctos, tre surfaces, orary krgg, a cooperatve krgg. Precso comparso was carre out by usg oe cross valato. The raal bass fucto a the orary Kerr terpolato have the hghest precso []. The aly temperature s maly affecte by the su, a the shockwave s the oe-pot source ata, whch prove referece for the shockwave overpressure fel terpolato. The terpolato algorthms of orary krgg, cubc sple, a verse stace weghte were compare a aalyze base o geostatstcs, mathematcal fuctos, a geometrc methos. If sparse ata were avalable, they were use for orary krgg (OK) terpolato. The terpolato precso of cubc sple fucto was hgh whe the more a uform ata were avalable []. However, the mpact of quatty was ot aalyze a quatfe. I the exstg lterature, the shockwave overpressure precto a ear-fel shockwave moel a terpolato of the other physcal quatty have bee stue. However, few stues o surface terpolato for sparse ata of shockwave overpressure peaks are avalable, especally the evaluato of terpolato accuracy of fferet terpolato algorthms. The preset stuy proposes the evaluato metho of cross valato a obtas multpot overpressure value of fferet types of shockwave fel, such as the ear-grou pot source exploso, mor-calber weapos, a aval gu. The overpressure peaks are terpolate by the IDW terpolato, the OK terpolato, the RBF terpolato, a the CS fucto terpolato. The merts a emerts of fferet terpolato algorthms are compare base o the shockwave moel a error evaluato to prove the bass for the cotour plot of the shockwave overpressure fel. The remaer of ths stuy s orgaze as follows. Secto presets the tests of the multpot overpressure values of three types of shockwave fel, aalyzes the four types of terpolato algorthms, a proposes the evaluato metho for cross valato. Secto 4 presets the surface terpolato of the three types of shockwave fels, rawgs of the cotour-maps of the fferet algorthms, a the cotrast betwee the effects a errors. Secto 5 presets the summary of the coclusos.. Methoology The ata of the ear-grou pot source exploso, morcalber weapos, a aval gu obtae by the electrometrc metho a processe by ata flterg are fferet. The terpolato metho ca be ve to two categores, accorg to ts mathematcal prcples, as follows: the etermstc terpolato a the geostatstcal terpolato. The etermstc terpolato metho s base o the appearace of the teror rego or o ts smoothess, a the surface s create by the kow samples. Geostatstcal terpolato ca ot oly quatfy the spatal autocorrelato amog kow pots, but also expla the spatal strbuto of samplg pots the precte area by usg the statstcal characterstcs of kow samples []. 05

3 Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 The four types of terpolato algorthms use ths stuy belog to geostatstcal terpolato, such as IDW terpolato, RBF terpolato, CS fucto terpolato, a OK terpolato.. Shockwave overpressure fel ata Blast wave s a sphercal wave of sotropy at rest a expag outwar. The overpressure value s calculate at fferet staces, wth the staar explosve ball explog the ar, usg the theoretcal or emprcal formula. The much accurate calculato of the overpressure exploso of TNT explosve ball the ar s the Key- Graham Formula, as follows: f R Δpmax p ar = fr fr fr f = p p ar 0ar R = r ω T T 0ar where f s the factor of atmospherc trasmsso, ar () p s ar the atmospherc pressure at the test ste ( kg / m ), p s 0ar the staar atmosphere (.0 kg / m ), T s the ar atmospherc temperature at the test ste ( K ), T s the 0ar staar atmosphere temperature (88.6 K ), R s the rato / of stace ( m/ kg, 0.05 R 500 ), r s the stace betwee the test pot a the core ( m ), a ω s the TNT equvalet of explosves ( kg ). The exploso shockwave moel has bee prove, a the TNT equvalet has bee trouce [7]. The overpressure emprcal equato (Eq. ()) s use to moel the exploso shockwave the fte space, a the overpressure value s calculate the rage of approxmately -0 m from the stace to the core. The arbtrary recto s 0 whe the core s cosere the ceter, a fve raal pots are take at the raal equal tervals of 0, 60, 90, 0 a50. The blast wave s sotropc, a the ata o the same raus are equal. The overpressure peaks of 0, 4, 8,, a 6 m were 68.0, 78.4, 46.,., a. kpa, respectvely. A total of 5 type value pots are cosere. The weapo muzzle shockwave s a sphercal shockwave wth a rectoal characterstc. The overpressure cotour s peach-shape, a ts testy s the strogest alog the propagato recto [8]. The fferet weapo characterstcs a lauchg cotos obtae fferet shockwave results. The shockwave fel presete by a aval gu s much complcate gve the fluece of secoary flame a grou overpressure []. The sesor array s arrage o oe se whe the shockwave s teste, coserg the left a rght symmetry of the muzzle. The overpressure peaks of a aval gu a 7.6-mm calber gu are obtae polar form, as show Tables a, respectvely. The frg recto of a aval gu s 0, a the rage of 0 to 40 s selecte; t s strbute every 0. The test raal rage s -7 m, a the placemet terval s m. Fve pots are place o the 06 same raal recto, a, thus, a total of 5 pots are place. A 7.6-mm calber gu s place o the recto of 0, a the test pot s at the org of the muzzle. The terval betwee aacet pots s.5, a the stace betwee aacet measurg pots the raal recto s 0.5 m. Four pots are place o the same raal recto. Thus, a total of 8 pots are place. Table. Peak overpressure ata of a aval gu shockwave ( kpa ) Data r = m r = 4 m r = 5 m r=6 m r=7 m θ = θ = θ = θ = θ = Table. Peak overpressure ata of a 7.6-mm gu shockwave ( kpa ) Data r=0.5 m r=0.5 m r=0.75 m r=.0 m θ = θ = θ = θ = θ = θ = θ = IDW terpolato metho The basc prcple of the IDW terpolato metho s that a seres of screte pots s strbute the plae, a ts posto a attrbute values are kow as ( x, y ) a z ( =,, L ). The value of pot P s evaluate by the stace weghte terpolato base o the property values of the screte pot pxy (, ), whch s a arbtrary gr oe. The fluece of the surroug pots o pot P s fferet from the fferece the strbuto locato of pot Pz ( ), whch s calle the weght fucto ω (, xy), as follows: [ x y ] W(, x y) = (, ) u () where ( x, y) = ( x x ) + ( y y ) s the stace from pot ( x, y ) to pot Pxy. (, ) The square parameter cotrols the weght coeffcet a ecreases wth the crease the gr oe stace. Whe calculatg a gr oe, the weght of a specfc ata pot s proportoal to the recprocal of the stace from the pot of the specfe square to the observato pot. The weght fucto s maly relate to stace, a usually to the recto. If the pot s take evely o four rectos arou pot P, the the recto factor s ot cosere. Thus, the value of the terpolato pot Pz ( ) s obtae as follows: Pz () z [ (, )] [ ( x, y)] = u x y = = () Allocato of the umber of ecso values of the weght fucto. u

4 Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 For a larger square, the closer ata pots are prove wth hgher weghts, or the weghts are evely strbute to each pot. Therefore, fferet values greatly fluece pot Pz ( ). I ato, the calculato values are easly affecte by the ata pot cluster. The results ofte show a solate pot, a the value s sgfcatly hgher tha the surroug ata pots. Ths approach s kow as the uck egg strbuto patter.. Krgg terpolato metho Krgg terpolato space, also calle the best autocovarace terpolato, s a metho of optmal, lear, a ubase estmato for varable values the usample rego that uses the orgal ata of the regoalze varables a the structural features of the varato fuctos. The value of the ukow sample pots, whch are eterme by the weghtg of the kow sample pots, s expresse as follows: = ( ) Zx ( ) = wzx (4) where Z( x ) s the value of a ukow sample pot, Zx ( ) s the value of the kow sample pots arou the ukow sample pot, w s the weght of a kow sample pot to the ukow sample pot, a s the umber of the kow sample pots. Whe weghts are assge wth values, krgg terpolato ot oly cosers the stace, but also the spatal relatoshp betwee kow a ukow sample pots through the varato fucto a structural aalyss, whch s fferet from the IDW terpolato. May types of krgg terpolato methos are avalable. The tratoal krgg metho s ofte use whe the expectato s ukow. I ths metho, the ata are assume to chage to ormal strbuto. The terpolato process s smlar to the weghte slg average, a the weght s eterme through the varato fucto, whch s ofte referre to as local optmal lear ubase estmato. krgg terpolato metho commoly uses sem-varat fucto moels such as Gaussa, lear, sphercal, a expoetal moels. It has fferet applcatos fferet areas..4 RBF terpolato The RBF terpolato s a combato of multple ata terpolato methos. The terpolato prcple ca be expresse as follows: For the set X { X R,,,, N} = = L of N kow samplg pots a the correspog set {,,,, } Y = f R = L N of N real umbers, a terpolato fucto that satsfes the terpolato cotos as follows s eterme: ( ) =, =,, L, s X f N ata. A slp coeffcet s trouce the base fucto to geerate a much roue surface. Some usual basc fuctos, such as th strp sple fucto, multple quaratc fucto, a atural CS fucto, are avalable..5 CS terpolato metho The sple fucto s a pecewse fucto that fts oly a few pots each tme, whle the coecto of the curve segmet s cotuous. Therefore, the surface curvature s mmze by usg the sample pots to ft the smooth curve [, 4]. The CS fucto s ot oly smooth, but ca also guaratee the cotuty of the frst a seco ervatves of the fttg curve. The set of ata pots are as follows: (, ),(, ),,(, ) x0 y0 x y L x y where x0 < x< L < x. A fucto to satsfy the coto s eterme, as follows: ) Sx () = y,( = 0,,, L ) ; ) Wth the rage[ x0, x ], Sx ( ), seco orer s rea a gue; ) Wth each m zoe, Sx ( ), s the cubc polyomal of varable x. The, Sx ( ) s the CS fucto or CS polyomal for the ata pots. I the followg set of ata pots: ( x, y), =,, L,, m s the slope of ( x, y ). The, the CS terpolato fucto expresso for secto s as follows: (),,, y x = a x + b x + c x+ = L (5) a h = x x. The terpolato fucto coeffcet a, b, c, s obtae as follows: m + m ( y y ) a = h h m ( x + x ) + m ( x + x ) b = h ( + ) ( y y )( x + x ) + h m x ( x + x ) m x ( x + x ) c = = h mx m x xx h 6( y y ) x x h yx ( x x ) + y x( x x ) + h (6) where { ( X X ),,, N} φ = L s a collecto of N raal bass fuctos. The kow pot X R, =,, L, N s the ceter of the raal bass fucto. w ( =,, L, N) s the ukow power coeffcet. All the RBF terpolato methos are accurate terpolators a ca be use to all Although the sple terpolato spee s fast a has better vsual effect, a large error s obtae the area estmato of the large varato of the attrbute short stace. 07

5 Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) Cross Valato The overpressure ata error s aalyze by usg the cross valato metho, whch ca be use for all measurg pots, assumg that the ata s ukow. For the remag pot ata, a fferet terpolato metho s use to compute the smulato value by combg the calculatg error of the observe value [5-7]. The error evaluato metho maly aopts the mea absolute error (MAE), mea relatve error (MRE), a root mea square error (RMSE). MAE reflects the error rage of the smulate value, MRE reflects the accuracy of the smulate value for the observe value, a RMSE reflects the sestvty a extreme value of the smulate value. ' = MAE = Z Z (7) ' Z Z MRE = (8) Z = = ( ) ' RMSE = Z Z (9) where Z s the actual measure value of pot, Zʹ s the smulato value of pot, a s the umber of pots. 4 Result Aalyss a Dscusso 4. Drawg cotour map The best terpolato parameters were selecte for tutve comparso of the terpolato results of the four methos for the three types of shockwave overpressure peak ata the stuy. IDW uses the thr orer equato. OK selects the lear trasformato. RBF uses th plate sple fucto, a CS aopts the three beg momet metho. The wave overpressure peak fels of the four fferet moels are show Fgs.,, a. (a) (b) 5 0 y/ 5 0 (c) x/ Fg.. Cotour-map of the blast (a) uer IDW metho, (b) uer OK metho, (c) uer RBF metho, a () uer CS metho. () (a) (b) y/ x/ (c) Fg. Cotour map of a 7.6-mm calber gu (a) uer the IDW metho, (b) uer the OK metho, (c) uer the RBF metho, a () the CS metho. () 08

6 Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 (a) (b) y/ x/ (c) () Fg.. Cotour map of a aval gu (a) uer the IDW metho, (b) uer the OK metho, (c) uer the RBF metho, a () uer the CS metho. The blast shockwave fel has the same cetralty, a the overpressure value ecreases wth creasg raus. Fg. shows that the cotour les geerate by the four methos ca reflect the geeral stuato of the wave ffuso of the pot burst moel. The super pressure cotour esty s hgh whe the shockwave fel s closer to the etoato. The recto of 0 a 80 s egatvely fluece by the umber of pots a the placemet. The cotour le, whch prouces a extreme value ear the exploso a the far fel, experece the uck egg effect. The cocetrcty tesfe wth the crease the raus, as geerate by the IDW metho, whch oes ot accor wth the law of fte space propagato of pot exploso. The cotour le becomes sparse ear the burstg core less tha the mfel, a the mfel cotour fluctuates. The cotour geerate by the IDW metho s easly affecte by the bouary value, a the smoothg effect becomes slghtly worse. The RBF a CS methos have smlar terpolato effect. However, the RBF metho s slghtly rcher a more cocetrc. The muzzle shockwave overpressure fel has the characterstcs of rectvty a yamc crcle. As show Fg., ato to the IDW metho, the cotour les pot to the 0 recto, a the cotour ceter evato s approxmately 0.. The other three methos reflect the characterstcs of the chamber shockwave. The IDW metho prouces the aomaly of cotour le, a the cotour les prouce by the OK metho pots to the horzotal recto of 80. The mfel the recto of 90 fluctuates, a the cotour les prouce by RBF are the most raply atteuate ear the ceter. The cotour le s relatvely smooth, a the effect s better. Fally, the cotour le prouce by the CS metho s abormal the recto of5. Fg. shows that the cotour les prouce by four methos reflect the fluece of weapo calber o the muzzle shockwave, that s, the partcularty of the shockwave fel s maly reflecte o the mle a far fels. The cotour le s affecte by the surface reflecto. A great fferece betwee the IDW metho a the other three algorthms s observe, a a aomaly appears o the cotour the recto of 80. The OK, RBF, a CS methos have the same chage rules; oly the smoothess a elevato chage slghtly o the atteuato the recto of0. The comparatve results of the terpolato effect of the three fferet types of shockwave fels show that, geeral, the RBF metho has the best effect, a the CS metho terpolato effect s extremely close. The OK metho has some fluctuatos, a the IDW metho s abormal. 4. Error aalyss scusso The MAE, MRE, a RMSE are calculate, a the error betwee the estmate value a type of value pot of each metho s aalyze base o the tutostc comparso of the cotour map. The MAE, MRE, a RMSE of the blast, the 7.6-mm calber gu, a the aval gu are compare uer the four terpolato methos, as show Tables, 4, a 5. Table shows that for MAE, MRE, a RMSE, RBF <OK <CS <IDW. Thus, uer the RBF metho, the terpolato error s mmal. Uer the OK metho, the terpolato s relatvely close. Uer the CS metho, the terpolato error s slghtly large. Uer the IDW metho, the terpolato error s the largest. The two errors of the RBF a the OK methos are relatvely close, a the fferece MRE s oly 0.007, catg that the terpolato effect s smlar. The RMSE of the IDW metho terpolato s large, catg that the IDW metho s abormal. The statstcs Tables 4 a 5 s cosstet wth Table, a the regularty s stroger. Overall, the aalyss cocluso of the cross valato error s that the RBF metho terpolato effect s best, followe by the OK metho terpolato. The CS metho terpolato error s slghtly large, a the IDW metho terpolato s abormal. Table. Cross valato error of the terpolato of blast Data MAE MRE RMSE IDW OK RBF CS Table 4. Cross valato error of the terpolato of a 7.6-mm calber gu Data MAE MRE RMSE IDW OK RBF CS Table 5. Cross valato error of the terpolato of a aval gu Data MAE MRE RMSE IDW OK RBF CS

7 5 Coclusos Yogl Zhag, Tal Ha, Hog Lu, Xao Wag a Eku Zhag/ Joural of Egeerg Scece a Techology Revew 0 (6) (07) 04-0 To raw hgh precso a effectve shockwave overpressure fel cotour, a error evaluato metho was establshe to evaluate the terpolato effect of four terpolato methos, clug IDW, OK, RBF, a CS for the overpressure peak fel of fferet types of shockwaves of the blast, 7.6-mm calber gu, a aval gu. The MAE, MRE, a RMSE of the four terpolato results were cross-checke a compare. The followg coclusos coul be raw: ) The cotour map shows that the RBF, OK, a CS methos reflecte the overall chage the overpressure peak fel. The RBF metho hghlghts the etals, followe by the OK a the CS methos. However, the IDW metho caot evetly reflect the chage the overpressure peak fel. ) The MAE, MRE, a RMSE results are aalyze, accorg to the error evaluato metho. The three types of errors of the RBF metho terpolato are the least, a that of the IDW metho are the largest. The RBF metho s superor to the CS metho. The error of the RBF a OK Refereces methos s close to that of the 7.6-mm calber gu a the aval gu shockwave fel. Thus, the terpolato precso ca satsfy the requremet. ) The RBF metho terpolato s the optmal terpolato algorthm the overall aalyss. Thus, the spatal terpolato algorthm s trouce the shockwave fel to mprove the precso of the pressure le rawg, such as the shockwave fel of the electrometrc metho. It has a certa referece to the perfecto of the shockwave overpressure fel moel. The ata preset two mesoal characterstcs because the shockwave overpressure sesor s locate the same horzotal plae heght. Therefore, future stues, chagg the fferet placemet heghts wll result much accurate cotours of the shockwave overpressure fel. Atoal fluecg factors shoul be cosere the future. Ths s a Ope Access artcle strbute uer the terms of the Creatve Commos Attrbuto Lcece. K. Fasler, Descrpto of muzzle blast by mofe eal scalg moels. Shock a Vbrato, 5(), 998, pp.-.. 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