Paper Title:
Construction of Space-Time High Resolution Second Order Accurate Three Dimensional MP Difference Schemes
  Abstract

In this paper, a new Riemann-solver-free class of difference schemes are constructed to scalar nonlinear hyperbolic conservation laws in the three dimension (3D). We proved that these schemes had second order accuracy in space and time, and satisfied maximum principles (marked as MPs) under an appropriate CFL condition. This results in a second-order accuracy, MP schemes a natural extension of the one (two)-dimensional second-order. In addition, these schemes can still be extended to the vector system of conservation law. We yet prove that these schemes satisfied the scalar and vector maximum principle, and in the more general context of systems.

  Info
Periodical
Key Engineering Materials (Volumes 306-308)
Edited by
Ichsan Setya Putra and Djoko Suharto
Pages
685-690
DOI
10.4028/www.scientific.net/KEM.306-308.685
Citation
K.-T. Wu, J. G. Ning, "Construction of Space-Time High Resolution Second Order Accurate Three Dimensional MP Difference Schemes", Key Engineering Materials, Vols. 306-308, pp. 685-690, 2006
Online since
March 2006
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Guang Lan Liao, Tie Lin Shi, Shi Yuan Liu
249
Authors: Xing Hui Cai, Peng Xu, Man Lin Zhu, Yun Liang Gao, Guo Xun Ji
Chapter 2: Thermal Engineering
Abstract:In this paper, a local radial point interpolation method is given to obtain the numerical solutions of the coupled equations in velocity and...
170
Authors: Xiu Qin Wu, Tie Liang Liu, Zhian Yi
Chapter 8: Engineering Education
Abstract:Cultivating students who have innovated abilities is not only an age requirement but also the focus of engineering education. In engineering...
2286
Authors: Xiao Ling Luo, He Ru Xue
Chapter 3: Data Acquisition and Data Processing, Computational Techniques
Abstract:Global approximation for a complex “black-box” model (like a simulation model) with large domain or multi-dimensions can be applied in many...
1005