6533b81ffe1ef96bd1278edf
RESEARCH PRODUCT
Computation of travelling wave solutions of scalar conservation laws with a stiff source term
Vicente Bertomeu MartínezAntonio Marquinasubject
Conservation lawGeneral Computer Sciencebusiness.industryComputationScalar (mathematics)General EngineeringOdeVelocity factorComputational fluid dynamicsNonlinear systemClassical mechanicsMesh generationApplied mathematicsbusinessMathematicsdescription
Abstract In this paper we propose a nonoscillatory numerical technique to compute the travelling wave solution of scalar conservation laws with a stiff source term. This procedure is based on the dynamical behavior described by the associated stationary ODE and it reduces/avoids numerical errors usually encountered with these problems, i.e., spurious oscillations and incorrect wave propagation speed. We combine this treatment with either the first order Lax–Friedrichs scheme or the second order Nessyahu–Tadmor scheme. We have tested several model problems by LeVeque and Yee for which the stiffness coefficient can be increased. We have also tested a problem with a nonlinear flux and a discontinuous source term.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-01 | Computers & Fluids |