Abstract:
An important element of global software codes for computing real-life three-dimensional problems with singularities (such as boundary and internal layers, shocks, detonation waves, combustion fronts, high-speed jets, and phase transition zones) is automatic adaptive grid generation, which can considerably enhance the efficiency of computer resource management. In three-dimensional domains with boundaries of complex geometry, in particular, with discretely defined boundaries, adaptive grids are generated by applying inverted Beltrami and diffusion equations for a spherical monitor tensor.
Citation:
A. V. Kofanov, V. D. Liseikin, “Grid construction for discretely defined configurations”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 938–945; Comput. Math. Math. Phys., 53:6 (2013), 759–765
This publication is cited in the following 4 articles:
Orlov A.A. Tsimbalyuk A.F. Malyugin R.V., “Desublimation of Uf6 in Vertically Finned Tanks”, Theor. Found. Chem. Eng., 54:1 (2020), 178–186
Vladimir D. Liseikin, Scientific Computation, Grid Generation Methods, 2017, 481
A. I. Belokrys-Fedotov, V. A. Garanzha, L. N. Kudryavtseva, “Generation of Delaunay meshes in implicit domains with edge sharpening”, Comput. Math. Math. Phys., 56:11 (2016), 1901–1918
A. V. Kofanov, V. D. Liseikin, A. D. Rychkov, “Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method”, Comput. Math. Math. Phys., 55:1 (2015), 109–116