Triangular and tetrahedral spectral elements
نویسندگان
چکیده
In this paper we present a new unstructured spectral element method for use on triangular and tetrahedral subdomains. The algorithm maintains the accuracy and efficiency of standard quadrilateral/hexahedral spectral element methods but offers greater adaptivity. Standard unstructured meshes can be used and the order of the polynomial expansion can be varied within each triangular/tetrahedral sub-domain. To determine the time step restrictions when explicitly solving a convectively dominated flow we numerically analyse the linear advection equation. The formulation is then applied to the incompressible Navier-Stokes equations in the new spectral element code
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