Simulation of jet flows in ideal fluids by variable finite elements
Abstract
A free-boundary problem involved in computation of the shape of a jet of an ideal fluid exiting through an orifice is formulated as finding a stationary point of a certain functional defined on a variable domain. The stationary point of the functional discretized in terms of linear finite elements is then located numerically by using the Newton-Raphson procedure. This numerical approach is much faster than the previous attempts; it can accurately reproduce the exact results known for planar jet flows when the orifice is an infinite slit; and it can easily be applied to the computation of axisymmetric jets.
- Publication:
-
IMA Journal of Applied Mathematics
- Pub Date:
- 1986
- Bibcode:
- 1986JApMa..37..247M
- Keywords:
-
- Exhaust Flow Simulation;
- Finite Element Method;
- Flow Geometry;
- Jet Flow;
- Newton-Raphson Method;
- Orifice Flow;
- Axisymmetric Flow;
- Bernoulli Theorem;
- Continuity Equation;
- Laplace Equation;
- Linear Equations;
- Triangulation