Simulation of jet flows in ideal fluids by variable finite elements
Abstract
A freeboundary 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 NewtonRaphson 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;
 NewtonRaphson Method;
 Orifice Flow;
 Axisymmetric Flow;
 Bernoulli Theorem;
 Continuity Equation;
 Laplace Equation;
 Linear Equations;
 Triangulation