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20032025
most citedKinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations

279 citations

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Showing 2012Show all

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math.AP2012★ 29 cited

A Reduction Method for Semilinear Elliptic Equations and Solutions Concentrating on Spheres

Filomena Pacella, P. N. Srikanth

We show that any general semilinear elliptic problem with Dirichlet or Neumann boundary conditions in an annulus A in R^2m ;m >1, invariant by the action of a certain symmetry grou…

math.NA2012★ 279 cited

Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations

Praveen Chandrashekar

Centered numerical fluxes can be constructed for compressible Euler equations which preserve kinetic energy in the semi-discrete finite volume scheme. The essential feature is that…

math.NA2012★ 9 cited

Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting

Praveen Chandrashekar

Kinetic schemes for compressible flow of gases are constructed by exploiting the connection between Boltzmann equation and the Navier-Stokes equations. This connection allows us to…