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We develop the exact solution of the Brinkman equations for three-dimensional incompressible flow driven by regularized forces.
Although the regularized forces lead to a smooth velocity field, the Greenʼs function may contain rapid transitions that are not captured properly on a coarse grid.
A method is presented for the efficient computation of Stokes flow due to doubly-periodic arrays of regularized forces and point forces in 3D near a wall.
A new numerical method for computing three-dimensional Stokes flow driven by a doubly-periodic array of regularized forces is presented.
The image system for a three-dimensional flow generated by regularized forces outside a solid sphere is formulated and implemented as an extension of the method of regularized Stokeslets.
Similar(55)
However, the implementation complexity of DPC leads to the investigation of linear precoding techniques with reduced complexity such as zero forcing (ZF) and regularized zero forcing (R-ZF).
These are described by a collection of regularized point forces, and the velocity field they induce is computed directly on a regular Cartesian grid via a smoothed dipole potential.
Regularized Stokeslets are fundamental solutions to the Stokes equations with a regularized point-force term that are used to represent forces generated by a rigid or elastic object interacting with the fluid.
For example, the close-to-optimal and relatively "antenna-efficient" regularized zero-forcing (RZF) precoding is very complicated to implement in practice, since it requires fast inversions of large matrices in every coherence period.
However, conventional linear precoding schemes in massive MIMO systems, such as regularized zero-forcing (RZF) precoding, have near-optimal performance but suffer from high computational complexity due to the required matrix inversion of large size.
The coupling to the fluid is accomplished by the use of the method of regularized Stokeslets for the force and regularized rotlets for the torque.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com