Adaptive Mesh Refinement for Finite-volume Discretizations with Scalene Triangles
| Autor: | Sanderson L. Gonzaga de Oliveira, Guilherme Oliveira Chagas |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Laplace's equation
Mathematical optimization Finite volume method Partial differential equation Computer science Adaptive mesh refinement Mesh generation Non-conformal mesh Elliptic boundary value problem Laplace equation T-vertices Topology Triangle mesh Isosceles triangle General Earth and Planetary Sciences Polygon mesh ComputingMethodologies_COMPUTERGRAPHICS General Environmental Science |
| Zdroj: | ICCS |
| ISSN: | 1877-0509 |
| DOI: | 10.1016/j.procs.2015.05.233 |
| Popis: | In this work, simulations with scalene triangle meshes represented by a recently proposed graph-based adaptive mesh refinement technique are described. Previously, simulations exclusively with isosceles right triangles were presented with this graph-based scheme. This data structure represents triangular meshes in finite-volume discretizations in order to solve second-order partial differential equations. The main advantages of using this graph-based adaptive triangular mesh refinement technique are that low computational cost to adapt and traverse the mesh and low computational storage cost are achieved. This paper is a result of a work in modeling the Laplace equation with scalene triangles. |
| Databáze: | OpenAIRE |
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