A new second order positivity preserving kinetic schemes for the compressible Euler equations
We present a new second order kinetic flux-splitting schemes for the compressible Euler equations and we prove that this scheme is positivity preserving (i.e ρ and T remain ≥ 0). Our first order kinetic scheme is based on the Maxwellian equilibrium function and was initially proposed by Pullin. Our higher order extension can be seen as a variant of the so called corrected anti-diffusive flux approach. The necessity of a limitation on the antidiffusive correction appears naturally in order to satisfy the constraint of positivity.
KeywordsEuler Equation Blast Wave Order Scheme Compressible Euler Equation Approximate Riemann Solver
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