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- W2883363018 abstract "We present a numerical scheme for the solution of Euler equations based on staggered discretizations and working either on structured meshes or on general simplicial or tetrahedral/hexahedral meshes. The time discretization is performed by a fractional-step or segregated algorithm involving only explicit steps. The scheme solves the internal energy balance, with corrective terms to ensure the correct capture of shocks, and, more generally, the consistency in the Lax-Wendroff sense. To keep the density, the internal energy and the pressure positive, conditionally positivity-preserving convection operators for the mass and internal energy balance equations are designed by a MUSCL-like procedure: first, second-order in space fluxes are computed, then a limiting procedure is applied. This latter is purely algebraic: it does not require any geometric argument and thus works on quite general meshes; moreover, it keeps the pressure constant at contact discontinuities. The construction of the fluxes does not need any Riemann or approximate Riemann solver, and yields thus a particularly simple algorithm. Artificial viscosity is added in order to reduce the oscillations of the scheme. Numerical tests confirm the accuracy of the scheme." @default.
- W2883363018 created "2018-08-03" @default.
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- W2883363018 date "2018-10-01" @default.
- W2883363018 modified "2023-10-18" @default.
- W2883363018 title "A MUSCL-type segregated – explicit staggered scheme for the Euler equations" @default.
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- W2883363018 doi "https://doi.org/10.1016/j.compfluid.2018.06.013" @default.
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