Displaying similar documents to “Genuinely multi-dimensional non-dissipative finite-volume schemes for transport”

Interface tracking method for compressible multifluids

Alina Chertock, Smadar Karni, Alexander Kurganov (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper is concerned with numerical methods for compressible multicomponent fluids. The fluid components are assumed immiscible, and are separated by material interfaces, each endowed with its own equation of state (EOS). Cell averages of computational cells that are occupied by several fluid components require a “mixed-cell” EOS, which may not always be physically meaningful, and often leads to spurious oscillations. We present a new interface tracking algorithm, which avoids using...

A steady-state capturing method for hyperbolic systems with geometrical source terms

Shi Jin (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We propose a simple numerical method for capturing the steady state solution of hyperbolic systems with geometrical source terms. We use the interface value, rather than the cell-averages, for the source terms that balance the nonlinear convection at the cell interface, allowing the numerical capturing of the steady state with a formal high order accuracy. This method applies to Godunov or Roe type upwind methods but requires no modification of the Riemann solver. Numerical experiments...