Stable numerical methods for conservation laws with discontinuous flux function

We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, the nonlinear equation is transformed to a semilinear diagonalizable problem with linear characteristic variables. Eulerian and Lagrangian methods are used for the advection stage while an implicit

• Type: Journal
• Year: 2006
• Where: AMC
• Authors: Mohammed Seaïd
• Keywords: AMC 2006, Linear Characteristic Variables, Nonlinear Equation, Semilinear Diagonalizable Problem