Upwind Collocation Meshless Method For The Discrete Lattice Boltzmann Equation In Fluid Simulations

Amandine Maidenberg; Leitao Chen; Eduardo Divo

Upwind Collocation Meshless Method For The Discrete Lattice Boltzmann Equation In Fluid Simulations

Amandine Maidenberg, Leitao Chen, Eduardo Divo

Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

Discrete Boltzmann Equation (DBE) has gained attention in recent years for its ability to efficiently simulate flows that require details at both the micro and macro scales. Often in Computational Fluid Dynamics there is a tradeoff between computational expense and computational accuracy, and so a method that can simulate multiscale fluid flows accurately while also being efficient, has much to offer. Traditionally, the DBE had been limited by grided domain modeling, however emerging meshless methods are being used to address more complex geometries. In this paper, the stability of the DBE solved by the Locally Collocated Radial Basis Function Meshless Method (LCMM) is considered in the simulation of Taylor Green Vortex (TGV) flow. An alternative upwinding scheme in LCMM is proposed and demonstrated to have improved stability, without
loss of accuracy.

Original language	American English
Journal	Proceedings of 2024 ASME Fluids Engineering Division Summer Meeting
State	Published - Sep 2024

Keywords

Discrete Boltzmann Equation, Meshless Methods, Radial Basis Functions, Taylor Green Vortex, Upwinding

Disciplines

Computer-Aided Engineering and Design

Cite this

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title = "Upwind Collocation Meshless Method For The Discrete Lattice Boltzmann Equation In Fluid Simulations",

abstract = "Discrete Boltzmann Equation (DBE) has gained attention in recent years for its ability to efficiently simulate flows that require details at both the micro and macro scales. Often in Computational Fluid Dynamics there is a tradeoff between computational expense and computational accuracy, and so a method that can simulate multiscale fluid flows accurately while also being efficient, has much to offer. Traditionally, the DBE had been limited by grided domain modeling, however emerging meshless methods are being used to address more complex geometries. In this paper, the stability of the DBE solved by the Locally Collocated Radial Basis Function Meshless Method (LCMM) is considered in the simulation of Taylor Green Vortex (TGV) flow. An alternative upwinding scheme in LCMM is proposed and demonstrated to have improved stability, withoutloss of accuracy.",

keywords = "Discrete Boltzmann Equation, Meshless Methods, Radial Basis Functions, Taylor Green Vortex, Upwinding",

author = "Amandine Maidenberg and Leitao Chen and Eduardo Divo",

year = "2024",

month = sep,

language = "American English",

journal = "Proceedings of 2024 ASME Fluids Engineering Division Summer Meeting",

}

TY - JOUR

T1 - Upwind Collocation Meshless Method For The Discrete Lattice Boltzmann Equation In Fluid Simulations

AU - Maidenberg, Amandine

AU - Chen, Leitao

AU - Divo, Eduardo

PY - 2024/9

Y1 - 2024/9

N2 - Discrete Boltzmann Equation (DBE) has gained attention in recent years for its ability to efficiently simulate flows that require details at both the micro and macro scales. Often in Computational Fluid Dynamics there is a tradeoff between computational expense and computational accuracy, and so a method that can simulate multiscale fluid flows accurately while also being efficient, has much to offer. Traditionally, the DBE had been limited by grided domain modeling, however emerging meshless methods are being used to address more complex geometries. In this paper, the stability of the DBE solved by the Locally Collocated Radial Basis Function Meshless Method (LCMM) is considered in the simulation of Taylor Green Vortex (TGV) flow. An alternative upwinding scheme in LCMM is proposed and demonstrated to have improved stability, withoutloss of accuracy.

AB - Discrete Boltzmann Equation (DBE) has gained attention in recent years for its ability to efficiently simulate flows that require details at both the micro and macro scales. Often in Computational Fluid Dynamics there is a tradeoff between computational expense and computational accuracy, and so a method that can simulate multiscale fluid flows accurately while also being efficient, has much to offer. Traditionally, the DBE had been limited by grided domain modeling, however emerging meshless methods are being used to address more complex geometries. In this paper, the stability of the DBE solved by the Locally Collocated Radial Basis Function Meshless Method (LCMM) is considered in the simulation of Taylor Green Vortex (TGV) flow. An alternative upwinding scheme in LCMM is proposed and demonstrated to have improved stability, withoutloss of accuracy.

KW - Discrete Boltzmann Equation, Meshless Methods, Radial Basis Functions, Taylor Green Vortex, Upwinding

M3 - Conference article

JO - Proceedings of 2024 ASME Fluids Engineering Division Summer Meeting

JF - Proceedings of 2024 ASME Fluids Engineering Division Summer Meeting

ER -