A Mesh Movement Algorithm for High Quality Generalised Meshes

A new dynamic mesh movement algorithm designed for the robust and efficient deformation of high quality generalised meshes for viscous flow calculations, in response to perturbations of the underlying geometry, is presented. The algorithm is based on a technique developed for the deformation of inviscid meshes, which uses a modified form of the popular elastic spring analogy approach involving a novel predictor-corrector scheme to improve the robustness of the method significantly. The new algorithm extends the existing approach to generalised highly anisotropic meshes, and introduces rotational terms in the deformation process, resulting in a capability which combines the efficiency of the spring-analogy approach with the robustness of more sophisticated methods which model the computational domain as an elastic solid. NavierStokes computations for a 2D airfoil show the improvement in the accuracy of viscous flow solutions obtained on meshes deformed using the new mesh movement algorithm. The ability of the new algorithm to handle deformation of volume meshes for complex 3D configurations is demonstrated through application of the algorithm both to the simulation of a missile release from a cavity, and to the aeroelastic analysis of a generic civil aircraft.

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