INVESTIGADORES
STORTI Mario Alberto
congresos y reuniones científicas
Título:
ANISOTROPIC MESH ADAPTATION BY VERTEX REALLOCATION
Autor/es:
GUSTAVO A. RÍOS RODRIGUEZ; LÓPEZ, E.; STORTI M.
Lugar:
San Carlos de Bariloche
Reunión:
Congreso; XXI Congreso sobre Métodos Numéricos y sus aplicaciones ENIEF 2014; 2014
Institución organizadora:
Asociación Argentina de Mecánica Computacional AMCA
Resumen:
Abstract. Mesh adaptation is widely used to solve Computational Fluid Dynamics (CFD) problemsboth on structured and unstructured meshes. It allows to improve the accuracy of the numericalsolution while keeping bounded the usage of computational resources. Error reduction in the finiteelement solution is attained more efficiently by using anisotropic mesh adaptation than by isotropicone if the problem solution is anisotropic in nature. This usually happens in compressible flowproblems with shock waves, contact discontinuities and wakes. In this work we propose an anisotropicunstructured mesh adaptation strategy that reallocates the vertices of the mesh (r-adaptation). Verticesare moved in accordance to a metric map induced by the Hessian of the numerical solution. TheHessian matrix is recovered by a double projection approximation of the finite element solution whileweighted extrapolation is used at the boundary of the domain. The strategy is first evaluated for tipicaltest cases on triangle meshes in order to compare the computed solutions to analytical ones. Then,typical gasdynamic benchmarks for compressible flow problems are solved and the numerical resultsfrom other authors are considered as reference.