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.

	Text (prosiding internasional tidak terindeks) C6_06_CIAM_2010.pdf Download (11MB)
	Text Peer_Review_C6_06_CIAM_2010.pdf Download (532kB)
Preview	Text Cek_Turnitin_CCP_25.pdf Download (2MB) | Preview

Abstract

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.

Actions (login required)

View Item