An immersed boundary method for complex incompressible flows

An immersed boundary method for time-dependent, 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 second-order central-differences for the viscous comp...

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Vydané v:Journal of computational physics Ročník 224; číslo 2; s. 757 - 784
Hlavní autori: Choi, Jung-Il, Oberoi, Roshan C., Edwards, Jack R., Rosati, Jacky A.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier Inc 10.06.2007
Elsevier
Predmet:
Computational techniques
Exact sciences and technology
High Reynolds number flows
Immersed boundary method
Incompressible Navier–Stokes equations
Mathematical methods in physics
Physics
High Reynolds number flows
Incompressible Navier–Stokes equations
Immersed boundary method
Near field
Second order
Approximate method
Reynolds number
Turbulent boundary layer
Spheres
Velocity fields
Calculation methods
Large Reynolds number
Incompressible flow
Interpolation
Three dimensional flow
Incompressible Navier-Stokes equations
Circular cylinder
Calculation
Diffusion
Power law
Navier-Stokes equations
ISSN:0021-9991, 1090-2716
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Shrnutí:An immersed boundary method for time-dependent, 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 second-order central-differences for the viscous components. Higher-order accuracy achieved by using weighted essentially non-oscillatory (WENO) or total variation diminishing (TVD) schemes. An implicit method based on artificial compressibility and dual-time stepping is used for time advancement. 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 computational 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. The tangential velocity near the surface is constructed as a power-law function of the local wall normal distance. Appropriate choices of the power law enable the method to approximate the energizing effects of a turbulent boundary layer for higher Reynolds number flows. Five different flow problems (flow over a circular cylinder, an in-line oscillating cylinder, a NACA0012 airfoil, a sphere, and a stationary mannequin) are simulated using the present immersed boundary method, and the predictions show good agreement with previous computational and experimental results. Finally, the flow induced by realistic human walking motion is simulated as an example of a problem involving multiple moving immersed objects.
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ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2006.10.032