Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
Preconditioned multigrid methods for unsteady incompressible flows
Journal of Computational Physics
Simulating the motion of flexible pulp fibres using the immersed boundary method
Journal of Computational Physics
Modeling arteriolar flow and mass transport using the immersed boundary method
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Journal of Computational Physics
Multidimensional upwinding for incompressible flows based on characteristics
Journal of Computational Physics
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A novel immersed object method is developed for simulating two-dimensional unsteady incompressible viscous flows around arbitrarily moving rigid bodies. It has been implemented in a parallel unstructured finite volume incompressible Navier-Stokes solver, based on the artificial compressibility (AC) approach using a higher-order characteristics-based upwind scheme and matrix-free implicit dual time-stepping. In the immersed object method, an object is immersed in the flow field, and it is supposed to contain frozen fluid, which moves like a solid body. This is realized by introducing source terms in the momentum equations during the AC sub-iterations. An internal mesh within the object is employed to search and locate all the Eulerian nodes within the object in every time step for imposing the source terms. Unlike many existing methods, this method does not require complex searching, extrapolation and interpolation to find the intersections of the object boundary with the unstructured background mesh and assign flow condition onto the object boundary. If it is necessary to capture the boundary layer accurately, then a dense overlapping grid can then be constructed around the object for further refined calculation. The immersed object method has been used to simulate steady and unsteady incompressible viscous flows over a stationary circular cylinder, rotating square cylinder and moving disk in cavity. The results agree well with published numerical solutions and experimental measurements.