Open AccessFICTITIOUS DOMAIN METHOD FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE VISCOUS FLOW AROUND RIGID BODIES
Author(s) -
Matej Beno,
B. Patzák
Publication year - 2017
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2017.57.0245
Subject(s) - discretization , rigid body , lagrange multiplier , finite element method , domain (mathematical analysis) , compressibility , incompressible flow , flow (mathematics) , fictitious domain method , stokes flow , mathematics , computer science , mechanics , classical mechanics , mathematical analysis , geometry , physics , mathematical optimization , thermodynamics
This article describes the method of efficient simulation of the flow around potentially many rigid obstacles. The finite element implementation is based on the incompressible Navier-Stokes equations using structured, regular, two dimensional triangular mesh. The fictitious domain method is introduced to account for the presence of rigid particles, representing obstacles to the flow. To enforce rigid body constraints in parts corresponding to rigid obstacles, Lagrange multipliers are used. For time discretization, an operator splitting technique is used. The model is validated using 2D channel flow simulations with circular obstacles. Different possibilities of enforcing rigid body constraints are compared to the fully resolved simulations and optimal strategy is recommended.