A finite element method for numerical analysis of laminar flow over a step
Abstract
A numerical model is presented for solving the unsteady Navier-Stokes equations for flows around objects with complex shapes. The weak formulation incorporates boundary conditions for flow near the wall, a parabolic velocity profile, and a friction-free boundary. The model is defined in general form and adapted to a flow over a backward facing step. Curved quadrilateral elements are employed to generate a finite element solution to the equations.
- Publication:
-
Analysis of Laminar Flow over a Backward Facing Step
- Pub Date:
- 1984
- Bibcode:
- 1984alfb.proc...80B
- Keywords:
-
- Backward Facing Steps;
- Computational Fluid Dynamics;
- Finite Element Method;
- Flow Geometry;
- Laminar Flow;
- Steady Flow;
- Boundary Conditions;
- Boundary Value Problems;
- Navier-Stokes Equation;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer