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The unsteady analytical solutions of the SSWE are derived by applying the transformation method to the transition from a fixed cartesian to a rotating coordinate system.
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In a finite volume context, a fixed Cartesian grid is used to discretize the equations of motion for the liquid phase.
A moving body fitted grid is used to resolve the flow near the interface, while most of the fluid domain is covered with a fixed Cartesian grid.
These equations are solved by use of a meso-scale fixed Cartesian grid whose cell is larger than individual particles.
A non-boundary-conforming formulation for simulating complex turbulent flows with dynamically moving boundaries on fixed Cartesian grids is proposed.
It differs from standard immersed boundary methods due to the use of a local spectral representation of the solution in the neighborhood of each particle, which is used to bridge the gap between the particle surface and the underlying fixed Cartesian grid.
Towards numerical simulation of flapping foils on fixed cartesian grids.
Towards numerical simulation of flapping foils on fixed Cartesian grids.
Simulations of complex flows and fluid-structure interaction problems on fixed cartesian grids.
Owing to the single universal equation on a fixed Eulerian Cartesian mesh the proposed method retains the simplicity, robustness and versatility of the original Cartesian grid simulation.
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