Adaptive remeshing for compressible flow computations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
A new procedure for dynamic adaption of three-dimensional unstructured grids
Applied Numerical Mathematics
Journal of Computational Physics
On the Choice of Wavespeeds for the HLLC Riemann Solver
SIAM Journal on Scientific Computing
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
SIAM Journal on Numerical Analysis
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
Journal of Computational Physics
SIAM Journal on Scientific Computing
Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows
Journal of Computational Physics
Adaptive time-step with anisotropic meshing for incompressible flows
Journal of Computational Physics
Hi-index | 31.46 |
This paper deals with the adaptation of unstructured meshes in three dimensions for transient problems with an emphasis on CFD simulations. The classical mesh adaptation scheme appears inappropriate when dealing with such problems. Hence, another approach based on a new mesh adaptation algorithm and a metric intersection in time procedure, suitable for capturing and track such phenomena, is proposed. More precisely, the classical approach is generalized by inserting a new specific loop in the main adaptation loop in order to solve a transient fixed point problem for the mesh-solution couple. To perform the anisotropic metric intersection operation, we apply the simultaneous reduction of the corresponding quadratic form. Regarding the adaptation scheme, an anisotropic geometric error estimate based on a bound of the interpolation error is proposed. The resulting computational metric is then defined using the Hessian of the solution. The mesh adaptation stage (surface and volume) is based on the generation, by global remeshing, of a unit mesh with respect to the prescribed metric. A 2D model problem is used to illustrate the difficulties encountered. Then, 2D and 3D complexes and representative examples are presented to demonstrate the efficiency of this method.