After a short discussion of recent discretization techniques for the lattice-Boltzmann equations we motivate and discuss some alternative approaches using implicit, nonuniform FD discretization and mesh refinement techniques. After presenting results of a stability analysis we use an implicit approach to simulate a boundary layer test problem. The numerical results compare well to the reference...

Abstract We demonstrate the flexibility and utility of Berger–Rigoutsos adaptive mesh refinement (AMR) algorithm used in open-source numerical relativity (NR) code GRC hombo for generating gravitational waveforms from binary black-hole (BH) inspirals, studying other problems involving non-trivial matter configurations. show that can produce high quality BH through a comparison with established ...

In this paper, a quadtree-based mesh generation method is described to create guaranteed-quality, geometry-adapted all-quadrilateral meshes with feature preservation for arbitrary planar domains. Given point cloud, our method generates all-quad meshes with these points as vertices and all the angles are within [45◦, 135◦]. For given planar curves, quadtree-based spatial decomposition is governe...