All-regime Lagrangian-Remap numerical schemes for the gas
All-regime Lagrangian-Remap numerical schemes for the gas dynamics equations. Applications to the large friction and low Mach regimes. Christophe Chalons.
Introduction Large friction and low Mach regimes Numerical strategy Numerical results
All-regime Lagrangian-Remap numerical schemes for the gas dynamics equations. Applications to the large friction and low Mach regimes Christophe Chalons LMV, Universit´e de Versailles Saint-Quentin-en-Yvelines
Joint works with M. Girardin and S. Kokh
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Christophe Chalons
All-regime Lagrangian-Remap numerical schemes
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Introduction Large friction and low Mach regimes Numerical strategy Numerical results
Outline
1
Introduction
2
Large friction and low Mach regimes
3
Numerical strategy
4
Numerical results
Christophe Chalons
All-regime Lagrangian-Remap numerical schemes
3/63
Introduction Large friction and low Mach regimes Numerical strategy Numerical results
Outline
1
Introduction
2
Large friction and low Mach regimes
3
Numerical strategy
4
Numerical results
Christophe Chalons
All-regime Lagrangian-Remap numerical schemes
Introduction Large friction and low Mach regimes Numerical strategy Numerical results
Introduction Motivation : numerical study of two-phase flows in nuclear reactors We consider the following model ∂t ρ + ∇ · (ρu) = 0 ∂t (ρu) + ∇ · (ρu ⊗ u) + ∇p = 0 ∂t (ρE ) + ∇ · [(ρE + p)u] = 0 where ρ, u = (u, v )t , E denote respectively the density, the velocity vector and the total energy of the fluid. Let e = E −
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|u|2 2
be the specific and τ = 1/ρ the covolume
Christophe Chalons
All-regime Lagrangian-Remap numerical schemes
Introduction Large friction and low Mach regimes Numerical strategy Numerical results
Introduction We are especially interested in the design of numerical schemes when the model depends on a parameter > 0 in the following three flow regimes Classical regime : = O(1) Low regime :
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