A framework for the construction of node-centred schemes to solve the compressible Euler and Navier-Stokes equations is presented. The metric quantities are derived by exploiting some properties of Co finite element shape functions. The resulting algorithm allows to implement both artificial diffusion and one-dimensional upwind-type discretizations. The proposed methodology adopts a uniform data structure for diverse grid topologies (structured, unstructured and hybrid) and different element shapes, thus easing code development and maintenance. The final schemes are well suited to run on vector/parallel computer architectures. In the case of linear elements, the equivalence of the proposed method with a particular finite volume formulation is demonstrated.
SUMMARYThis paper describes a fully automatic 3D anisotropic mesh generation method for domains of arbitrary shape. The spacing of the boundary mesh is computed by the analysis of the principal curvatures and directions of the boundary surfaces. The spacing in the domain is obtained by interpolation of the spacing at the boundaries on a suitably constructed background mesh. Examples which illustrate the performance of the proposed methodology are presented.
SUMMARYThe paper describes a solver for the compressible inviscid flow equations which is based on a flux vector splitting strategy able to deal with chemical reaction effects. The methodology here adopted is based on a modification of the Flux Vector Splitting technique due to van Leer." The scheme operates on completely unstructured grids and has been coupled with an adaptive remeshing procedure to compute high speed flows. Solutions for two-dimensional problems for non-reactive and reactive air in thermodynamic equilibrium are presented.
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