Finite element flux‐corrected transport (FEM–FCT) for the euler and Navier–Stokes equations

Abstract A high resolution finite element method for the solution of problems involving high speed compressible flows is presented. The method uses the concepts of flux‐corrected transport and is presented in a form which is suitable for implementation on completely unstructured triangular or tetrahedral meshes. Transient and steady‐state examples are solved to illustrate the performance of the algorithm.