Arbitrary LagrangianEulerian method for NavierStokes equations with moving boundaries
This article deals with the numerical approximation of NavierStokes equations in a domain with moving boundaries. Using the arbitrary LagrangianEulerian (ALE) method we transform the problem from a moving domain to a fixed reference domain through an artificial domain velocity. Then, we apply the characteristic method to solve the NavierStokes equation in the fixed domain. Suitable boundary conditions are used for the interfaces. Three examples are provided to show the efficiency of the present method.
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