A Lagrangian level-set approach for the simulation of incompressible two-fluid flows

Autor(es)

Sousa, Fabricio Simeoni de ^[1] ; Mangiavacchi, Norberto

Afiliação do(s) autor(es)

^[1] Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação - Brasil

• Tipo de documento: Artigo Científico
• Fonte: International Journal for Numerical Methods in Fluids; v. 47, n. 10/11, p. 1393-1401, Apr. 2005.
• Área do conhecimento: Ciências Exatas e da Terra - Matemática
• Assunto(s): Método dos elementos finitos Sistemas não lineares

Resumo

A Lagrangian level-set method to solve incompressible two-dimensional two-fluid flows is presented. The Navier-Stokes equations are discretized by a Galerkin finite element method. A projection method is employed to decouple the system of non-linear equations. The interface between fluids is represented by the zero level set of a function plus additional marker points of the computational mesh. In the standard Eulerian level-set method, this function is advected through the domain by solving a pure advection equation. To reduce mass conservation errors that can arise from this step, our method employs a Lagrangian technique which moves the nodes of the finite element mesh, and consequently, the information stored in each node. The quality of the mesh is controlled by a remeshing procedure, avoiding bad triangles by flipping edges, inserting or removing vertices from the triangulation. Results of numerical simulations are presented, illustrating the improvements in mass conservation and accuracy of this new methodology. (AU)

• Processo FAPESP: 01/12623-5 - Simulação numérica de escoamentos multifásicos em malhas não estruturadas
• Beneficiário: Fabrício Simeoni de Sousa
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 00/03385-0 - SNENS III - solução numérica das equações de Navier-Stokes: escoamentos tridimensionais
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático