TY - EJOU AU - Kakuda, K. AU - Seki, A. AU - Yamauchi, Y. TI - TVD Finite Element Scheme for Hyperbolic Systems of Conservation Laws T2 - Computer Modeling in Engineering \& Sciences PY - 2010 VL - 69 IS - 3 SN - 1526-1506 AB - A finite element scheme based on the concept of TVD (total variation diminishing) with a flux-limiter for the hyperbolic systems of conservation laws is presented. The numerical flux is formulated effectively by the weighted integral form using exponential weighting functions. The TVD finite element scheme is applied to a Riemann problem, namely the shock-tube problem, for the Euler system of equations. Numerical results demonstrate the workability and the validity of the present approach through comparison with the exact solutions. KW - Finite element KW - Petrov-Galerkin method KW - exponential weighting functions KW - flux-limiter KW - TVD DO - 10.3970/cmes.2010.069.281