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A lattice Boltzmann method in generalized curvilinear coordinates

A lattice Boltzmann method in generalized curvilinear coordinates
A lattice Boltzmann method in generalized curvilinear coordinates
A second-order central time-explicit method is implemented to solve the Lattice Boltzmann Equation in generalized curvilinear coordinates in order to simulate fluid flows with non-uniform grids and curved boundaries. Several test cases are used for verification, including the Taylor-Green vortex in two-dimensions, the square lid-driven cavity and the 2D circular cylinder. The Taylor-Green vortex is a classical benchmark test that is compared with the analytical solution using a non-uniform grid. The 2D lid-driven cavity is solved for moderate Reynolds numbers, where a clustering function is employed to stretch the mesh and increase the resolution in the cavity corners. The boundary conditions for these two test-cases are relatively straightforward to implement since there are no curved walls. Therefore, the 2D circular cylinder is used to demonstrate the capacity of the present method to perform steady and unsteady simulations with curved boundaries. Our results have been compared with the literature available, and the outcomes of this method are consistent with other results, confirming the feasibility of the implemented scheme. In addition, the present method has been compared to our own standard Cartesian lattice Boltzmann solver with adaptive mesh refinement for the 2D circular cylinder problem.
LBM, Generalized Curvilinear Coordinates, Finite Dierence
Reyes Barraza, Juan, Antonio
5d754742-de9f-47e5-a5f1-10327f04d437
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Reyes Barraza, Juan, Antonio
5d754742-de9f-47e5-a5f1-10327f04d437
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314

Reyes Barraza, Juan, Antonio and Deiterding, Ralf (2019) A lattice Boltzmann method in generalized curvilinear coordinates. VI International Conference on Particle-based Methods - Fundamentals and Applications<br/>, , Barcelona, Spain. 28 - 30 Nov 2019. 12 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

A second-order central time-explicit method is implemented to solve the Lattice Boltzmann Equation in generalized curvilinear coordinates in order to simulate fluid flows with non-uniform grids and curved boundaries. Several test cases are used for verification, including the Taylor-Green vortex in two-dimensions, the square lid-driven cavity and the 2D circular cylinder. The Taylor-Green vortex is a classical benchmark test that is compared with the analytical solution using a non-uniform grid. The 2D lid-driven cavity is solved for moderate Reynolds numbers, where a clustering function is employed to stretch the mesh and increase the resolution in the cavity corners. The boundary conditions for these two test-cases are relatively straightforward to implement since there are no curved walls. Therefore, the 2D circular cylinder is used to demonstrate the capacity of the present method to perform steady and unsteady simulations with curved boundaries. Our results have been compared with the literature available, and the outcomes of this method are consistent with other results, confirming the feasibility of the implemented scheme. In addition, the present method has been compared to our own standard Cartesian lattice Boltzmann solver with adaptive mesh refinement for the 2D circular cylinder problem.

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Accepted/In Press date: 28 October 2019
Published date: November 2019
Venue - Dates: VI International Conference on Particle-based Methods - Fundamentals and Applications<br/>, , Barcelona, Spain, 2019-11-28 - 2019-11-30
Keywords: LBM, Generalized Curvilinear Coordinates, Finite Dierence

Identifiers

Local EPrints ID: 435492
URI: http://eprints.soton.ac.uk/id/eprint/435492
PURE UUID: 1a215604-60a3-4c30-8228-fe745052ec14
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

Catalogue record

Date deposited: 08 Nov 2019 17:30
Last modified: 28 Apr 2022 02:13

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Contributors

Author: Juan, Antonio Reyes Barraza
Author: Ralf Deiterding ORCID iD

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