EFFICIENT FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL FLUID FLOW AND HEAT TRANSFER PROBLEMS
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 17 (2) , 123-154
- https://doi.org/10.1080/10407799008961736
Abstract
Velocity-pressure finite element methods for two-dimensional incompressible viscous flow and natural convection are considered. The governing continuum mechanics equations are summarized, and the finite element formulation is given. Some details of the implementations with the resulting analysis capabilities are presented. Finally, sample results that demonstrate some of the capabilities of the present approach are given.Keywords
This publication has 20 references indexed in Scilit:
- A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: TheoryInternational Journal for Numerical Methods in Fluids, 1984
- A finite element method for the three‐dimensional non‐steady Navier‐Stokes equationsInternational Journal for Numerical Methods in Fluids, 1984
- A CONTROL VOLUME FINITE-ELEMENT METHOD FOR TWO-DIMENSIONAL FLUID FLOW AND HEAT TRANSFERNumerical Heat Transfer, 1983
- Finite element solution of the unsteady Navier-Stokes equations by a fractional step methodComputer Methods in Applied Mechanics and Engineering, 1982
- A finite element for the numerical solution of viscous incompressible flowsJournal of Computational Physics, 1979
- Finite element analysis of incompressible viscous flows by the penalty function formulationJournal of Computational Physics, 1979
- FINITE-ELEMENT SOLUTION PROCEDURES FOR SOLVING THE INCOMPRESSIBLE, NAVIER-STOKES EQUATIONS USING EQUAL ORDER VARIABLE INTERPOLATIONNumerical Heat Transfer, 1978
- Natural Convection in a Square Enclosure by a Finite-Element, Penalty Function Method Using Primitive Fluid VariablesNumerical Heat Transfer, Part B: Fundamentals, 1978
- A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equationsComputers & Fluids, 1978
- Steady and unsteady finite element analysis of incompressible viscous fluidInternational Journal for Numerical Methods in Engineering, 1976