4 results for “boltzmann equation”

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Research ArticleOpen accessIn the keywordsVariable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport EquationDada O.M., O.B. Awojoyogbe, M. Agida, K. BoubakerProblem statement: In this study, we present general analytical solutions to the Neutron Boltzmann Transport Equation NBTE using a polynomial expansion scheme. Approach: Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme (BPES) in order to make the general analytical procedure simple and adaptable for solving similar real life problems. Results: Finding … …Physics International, Vol. 2, Issue 1 · 21 Jan 2012 · 7,595 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNumerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square CavityM.A. Mohd Irwan, A. M. Fudhail, C.S. Nor Azwadi, G. MasoudProblem statement: Investigation of fluid flow behavior through porous media in a liddriven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flow. Results: In the current study, … …American Journal of Applied Sciences, Vol. 7, Issue 10 · 31 Oct 2010 · 7,405 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNumerical Solution of the Taylor-Quette Flow Problem: A Commodious Statistical ApproachAyoob Karimi, Hassan Zeytoonian, Shahin NavardiProblem statement: The main problem in solving of the Boltzmann equation by statistical methods is its long computational time (CPU time). The problem of decreasing of CPU time usage in statistical solution methods of Boltzmann equation for rarefied vortex flows was studied. Approach: In this study the Boltzmann equation in a rarefied Taylor-Quette flow regime was solved using the new … …Physics International, Vol. 1, Issue 1 · 31 Mar 2010 · 7,780 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSpeedup of Particle Transport Problems with a Beowulf ClusterZhongxiang Zhao, G. Ivan MaldonadoThe MCNP code is a general Monte Carlo N-Particle Transport program that is widely used in health physics, medical physics and nuclear engineering for problems involving neutron, photon and electron transport[1]. However, due to the stochastic nature of the algorithms employed to solve the Boltzmann transport equation, MCNP generally exhibits a slow rate of convergence. In fact, engineers and scientists … …American Journal of Applied Sciences, Vol. 3, Issue 8 · 31 Dec 2006 · 6,918 accessesView PDF Cite