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AN IMMERSED BOUNDARY METHOD FOR COMPLEX INCOMPRESSIBLE FLOWS
Citation:
CHOI, J., R. C. OBEROI, J. R. EDWARDS, AND J. A. ROSATI. AN IMMERSED BOUNDARY METHOD FOR COMPLEX INCOMPRESSIBLE FLOWS. NA, NA (ed.), JOURNAL OF COMPUTATIONAL PHYSICS. Elsevier BV, AMSTERDAM, Netherlands, 224(2):757-784, (2007).
Description:
An immersed boundary method for time-dependant, three- dimensional, incompressible flows is presented in this paper. The incompressible Navier-Stokes equations are discretized using a low-diffusion flux splitting method for the inviscid fluxes and a second order central differences for the viscous components. Higher accuracy is achieved by using weighted, essentially non-oscillatory or total variation diminishing schemes. The immersed boundary surfaces are defined as clouds of points, which may be structured or unstructured. Immersed-boundary objects are rendered as level sets in the computational domain, and concepts from computation geometry are used to classify points as being outside, near, or inside the immersed boundary. The velocity field near an immersed surface is determined from separate interpolations of the components tangent and normal to the surface. Four different flow problems (flow past a circular cylinder, a NACA0012 airfoil, a sphere, and a stationary mannequin) are simulated using the present immersed boundary method, and predictions show good agreement with previous computation and experimental results.