Numericalschemeforlevelsetequationscontainingcurvature

onaxisymmetricunstructuredmeshes

CHENGJun-xia; HUXiao-mian

doi:10.11883/1001-1455(2012)02-0150-07

Volume 32 Issue 2

May 2014

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CHENGJun-xia, HUXiao-mian. Numericalschemeforlevelsetequationscontainingcurvatureonaxisymmetricunstructuredmeshes[J]. Explosion And Shock Waves, 2012, 32(2): 150-156. doi: 10.11883/1001-1455(2012)02-0150-07

Citation:

CHENGJun-xia, HUXiao-mian. Numericalschemeforlevelsetequationscontainingcurvature onaxisymmetricunstructuredmeshes[J]. Explosion And Shock Waves, 2012, 32(2): 150-156. doi: 10.11883/1001-1455(2012)02-0150-07

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Numericalschemeforlevelsetequationscontainingcurvature onaxisymmetricunstructuredmeshes

doi: 10.11883/1001-1455(2012)02-0150-07

CHENGJun-xia^,,
HUXiao-mian

1.
InstituteofAppliedPhysicsandComputationalMathematics,Beijing 100088,China

Funds:

NationalNaturalScienceFoundationofChina(10901022,10931004)

Publish Date: 2012-03-25

Abstract

Abstract

Tosimulatethemovingofaxisymmetricdetonationfrontontrianglesandquadrilateralsusingthelevelsetmethod, assumingthatthedetonationnormalvelocityisthelinearfunctionofcurvature, anaxisymmtriclevelsetequationisgainedbytheuseofcoordinatetransformation.Theconvectiontermofthelevelsetequationissolvedbythepositivescheme, andthecurvaturetermissolved bytheGalerkinisoparametricfiniteelementmethodandthesemi-implicittimesteppingtechnique. Ontrianglesandquadrilaterals,theschemeofthelevelsetequationscontainingcurvatureishigher thanfirstorderaccuracyinL2andL norms.Thecomputationalexampleisgivenofnonsmoothlevel setsshorteningstablybythelocalcurvatureontheunstructuredmixedmeshes.Theexampleofmultipledetonationfrontscollidingshowsthattheschemeofthispapercanbeusedtosimulatethepropagationofdetonationfronto curvature.
- mechanicsofexplosion,
- levelsetequation,
- Galerkinisoparametricfiniteelementmethod,
- detonationfront,
- axisymmetric