Solution Of The Incompressible
Navier-Stokes Equations Via Real-valued
Evolutionary Algorithms
Author(s)
R. I. Bourisli &D. A. Kaminski
Abstract
The concept of evolutionary algorithms (EAs) is used to solve the 2-D incompressible
Navier-Stokes equations. EAs operate on the principle of natural selection,
where candidate solutions compete for survival and are given a chance to survive
in accordance with their fitness. In an earlier paper the method was described
in detail, with particular emphasis on the various evolutionary operators. In this
paper, examples are given on applying the evolutionary solver to practical engineering
problems such as viscous flow in channels with multiple contractions and
expansions. One of the fundamental qualities of this type of solver is its relative
indifference to places of high gradients in the flow field. This, in turn, helps circumvent
many of the problems related to the stiffness of the system of equations.
We believe the method has great value in tackling fluid flow problems where conventional
methods fail to achieve timely convergence.
Keywords: evolutionary algorithms, Navier-Stokes, divergence, mutation.
1 Introduction
Many problems in computational fluid dynamics suffer from occasional divergence
or slow convergence, depending on the discretization, types of boundary
conditions and scale of flow phenomena. This is especially evident when continuum
discretization schemes are combined with gradient-based iterative solution
techniques. A good example of such convergence problem is the solution of the
Navier-Stokes equations. Typical methods such as finite element and finite volume
Keywords
evolutionary algorithms, Navier-Stokes, divergence, mutation.
Related Book
Other papers in this volume
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