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A numerical procedure for viscous free surface flows
Institution:1. Departamento de Matemática Aplicada a la Ingeniería Aeroespacial, ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid (UPM), Plaza Cardenal Cisneros 3, Madrid 28040, Spain;2. Departamento de Ingeniería Industrial y del Automóvil, Escuela Politécnica Superior, Universidad Antonio de Nebrija, Calle Pirineos, 55, Madrid 28040, Spain;1. Budapest University of Technology and Economics, Department of Applied Mechanics, Muegyetem rkp. 3, H1111 Budapest, Hungary;2. IK4-IDEKO Dynamics, & Control Department, Arriaga Kalea 2, E20870 Elgoibar, Spain;3. Georgia Institute of Technology, School of Mathematics, 686 Cherry St NW, GA30313 Atlanta, USA
Abstract:We present a numerical procedure for two-dimensional unsteady viscous free surface flow problems with surface tension. The procedure is based on a finite difference approach to a primitive variable formulation; a coordinate transformation is used to transform the irregularly shaped flow domain onto a fixed rectangular domain. The procedure is tested on a standing wave problem and a cavity flow problem with a free surface. Satisfactory numerical solutions are obtained for both problems for Reynolds numbers up to 200.
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