A generalized procedure for constructing an upwind-based TVD scheme
A generalized procedure for constructing an upwind-based TVD scheme
A generalized formulation for constructing second- and higher-order accurate TVD (total variation diminishing) schemes is presented. A given scheme is made TVD by limiting antidiffusive flux differences with some linear functions, so-called limiters. The general idea of the formulation and its mathematical proof of Harten's TVD conditions is shown by …