Compact Finite Difference Method for Solving Discrete Boltzmann Equation

Pranowo, . and Bintoro, A. Gatot Compact Finite Difference Method for Solving Discrete Boltzmann Equation. In: Conference on Industrial and Applied Mathematics Proceeding of Conference on Industrial and Applied Mathematics, 6-8 Juli 2010, Institut Teknologi Bandung.

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Fourth compact finite difference (FD) method for solving two dimensional Discrete Boltzmann Equation (DBE) for simulation of fluid flows is proposed in this paper. The solution procedure is carried out in Eulerian framework. BGK (Bhatnagar–Gross–Krook) scheme is adopted to approximate the collison term. The convective terms are discretized using 4th compact finite difference method to improve the accuracy and stability. Te semidiscrete equations are updated using 4th order explicit Runge-Kutta method. Preliminary results of the method applied on the Taylor-Green vortex flows benchmark are presented. We compared the numerical results with other numerical results, i.e. explicit 2nd and 4th FD, and exact solutions. The comparisons showed excellent agreement.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Compact finite difference; Boltzmann; BGK; ; Taylor vortex
Subjects: Teknik Industri > Industri
Divisions: Fakultas Teknologi Industri > Teknik Industri
Depositing User: Editor UAJY
Date Deposited: 09 Feb 2018 11:55
Last Modified: 01 Aug 2019 07:51

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