scholarly journals Boundary conditions for semi-Lagrangian methods for the BGK model

2016 ◽  
Vol 7 (3) ◽  
pp. 138-164 ◽  
Author(s):  
Maria Groppi ◽  
Giovanni Russo ◽  
Giuseppe Stracquadanio
Keyword(s):  
Boltzmann Equation ◽  
Numerical Methods ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Lagrangian Formulation ◽  
High Order Accuracy ◽  
Bgk Model ◽  
Order Accuracy ◽  
New Class ◽  
Iterative Procedures

Abstract A new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.

scholarly journals High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Xiujie Lv ◽  
Jinggang Qin ◽  
Tongke Wang
Keyword(s):  
Numerical Methods ◽  
High Order ◽  
High Order Accuracy ◽  
Computational Time ◽  
Boundary Values ◽  
Order Accuracy ◽  
Efficient Simulation ◽  
High Efficient ◽  
Wave Problems ◽  
New Algorithms

This paper is concerned with accurate and efficient numerical methods for solving viscous and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI like method. Both of them have the advantages of unconditional stability, less impact of the perturbing terms on the accuracy, and being convenient to compute the boundary values of the intermediates. Besides this, the compact scheme has high-order accuracy and costs less in computational time. Numerical results are presented to show the accuracy and efficiency of the new algorithms.

Analysis of Experimental Measurements and Numerical Simulations of a Heat Field in the Light Weight Building Structure

2014 ◽  
Vol 969 ◽  
pp. 33-38 ◽  
Author(s):  
Lenka Lausova ◽  
Iveta Skotnicova
Keyword(s):  
Numerical Methods ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Thermal Field ◽  
Temperature Response ◽  
Summer Temperature ◽  
Experimental Measurements ◽  
Light Weight ◽  
Building Structure ◽  
Heat Field

The paper analyses results of the experimental measurements and numerical simulations of the winter and summer temperature response in the light timber structure. In the article there is evaluated the suitability of using of the theoretical numerical methods for a thermal field prediction in a building structure exposed to non-stationary boundary conditions.

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