A coarse-grid projection method for accelerating incompressible MHD flow simulations

@article{Kashefi2020ACP,
  title={A coarse-grid projection method for accelerating incompressible MHD flow simulations},
  author={Ali Kashefi},
  journal={arXiv: Computational Physics},
  year={2020}
}
  • A. Kashefi
  • Published 28 February 2020
  • Physics
  • arXiv: Computational Physics
Coarse grid projection (CGP) is a multiresolution technique for accelerating numerical calculations associated with a set of nonlinear evolutionary equations along with the stiff Poisson equations. In this article we use CGP for the first time to speed up incompressible magnetohydrodynamics (MHD) flow simulations. Accordingly, we solve the nonlinear advection-diffusion equation on a fine mesh, while we execute the electric potential Poisson equation on the corresponding coarsened mesh. Mapping… 

Simulation of the incompressible Navier–Stokes via integrated radial basis function based on finite difference scheme

TLDR
An integrated radial basis function based on finite difference (IRBF–FD) method is presented in this paper for the solution of incompressible Navier–Stokes equations and it can be seen that no special treatment is needed to impose the essential boundary conditions.

A Point-Cloud Deep Learning Framework for Prediction of Fluid Flow Fields on Irregular Geometries

TLDR
This work presents a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the domain, and generalizes the predictions to multiple objects as well as an airfoil.

References

SHOWING 1-10 OF 41 REFERENCES

A finite-element coarse-grid projection method for incompressible flow simulations

TLDR
It is found that although CGP reduces the pressure field accuracy, it preserves the accuracy of the pressure gradient and thus the velocity field, while achieving speedup factors ranging from approximately 2 to 30.

A Coarse Grid Projection Method for Accelerating Free and Forced Convection Heat Transfer Computations

Coarse grid projection (CGP) methodology is used to accelerate the computations of sets of decoupled nonlinear evolutionary and linear static equations. In CGP, the linear equations are solved on a

AN EFFICIENT COARSE GRID PROJECTION METHOD FOR QUASIGEOSTROPHIC MODELS OF LARGE-SCALE OCEAN CIRCULATION

TLDR
A coarse grid projection (CGP) multiscale method to accelerate computations of quasigeostrophic (QG) models for large scale ocean circulation and it is demonstrated that numerical oscillations due to lower grid resolutions, in which the Munk scales are not resolved adequately, are effectively eliminated with CGP method.

A novel algorithm for incompressible flow using only a coarse grid projection

TLDR
This work presents a novel technique for simulating detailed fluids quickly that coarsens the Eulerian fluid grid during the pressure solve, allowing for a fast implicit update but still maintaining the resolution obtained with a large grid.

A numerical simulation for magnetohydrodynamic nanofluid flow and heat transfer in rotating horizontal annulus with thermal radiation

The impact of an axial magnetic field on the heat transfer and nanofluid flow among two horizontal coaxial tubes in the presence of thermal radiation was considered in this study. The impact of

Forced convection magnetohydrodynamic flow past a circular cylinder by considering the penetration of magnetic field inside it

Abstract A numerical investigation is carried out to analyze forced convection heat transfer in magnetohydrodynamic (MHD) flow past a circular cylinder by considering the penetration of magnetic

A Novel Design of Three-Dimensional MHD Flow of Second-Grade Fluid past a Porous Plate

In this study, a novel theoretical model for three-dimensional (3D) laminar magnetohydrodynamic (MHD) flow of a non-Newtonian second-grade fluid along a plate of semi-infinite length is developed

Three-dimensional MHD flows in rectangular ducts with internal obstacles

This paper presents a numerical simulation of the magnetohydrodynamic (MHD) liquid metal flow around a square cylinder placed in a rectangular duct. In the hydrodynamic case, for a certain parameter

Numerical simulations of a cylinder wake under a strong axial magnetic field

We study the flow of a liquid metal in a square duct past a circular cylinder in a strong externally imposed magnetic field. In these conditions, the flow is quasi-two-dimensional, which allows us to