Simulation of three-dimensional, time-dependent, incompressible flows by a finite element method
Abstract
A finite element model has been developed for simulating the dynamics of problems encountered in atmospheric pollution and safety assessment studies. The model is based on solving the set of three-dimensional, time-dependent, conservation equations governing incompressible flows. Spatial discretization is performed via a modified Galerkin finite element method, and time integration is carried out via the forward Euler method (pressure is computed implicitly, however). Several cost-effective techniques (including subcycling, mass lumping, and reduced Gauss-Legendre quadrature) which have been implemented are discussed. Numerical results are presented to demonstrate the applicability of the model.
- Publication:
-
5th Computational Fluid Dynamics Conference
- Pub Date:
- 1981
- Bibcode:
- 1981cfd..conf..354C
- Keywords:
-
- Air Pollution;
- Atmospheric Models;
- Computational Fluid Dynamics;
- Finite Element Method;
- Incompressible Flow;
- Three Dimensional Flow;
- Time Dependence;
- Atmospheric Circulation;
- Boussinesq Approximation;
- Computerized Simulation;
- Galerkin Method;
- Newtonian Fluids;
- Planetary Boundary Layer;
- Thermodynamic Properties;
- Fluid Mechanics and Heat Transfer