Application of A New Finite Volume Method to Burgers Equation

DOI

10.2991/icmia-17.2017.80How to use a DOI?

Keywords

Burgers equation, multiple integral finite volume method, Lagrange interpolation

Abstract

In this paper, a new discrete scheme is constructed for nonlinear transient Burgers equation by using the multiple integral finite volume method combined with Lagrange interpolation. The scheme has third order accuracy in space. Of course, higher accuracy can be achieved by adding interpolation nodes. Numerical results show that current method is effective, and compared with others, it shows clear advantage in solution precision.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Li Fang
AU  - Guo Cui
PY  - 2017/06
DA  - 2017/06
TI  - Application of A New Finite Volume Method to Burgers Equation
BT  - Proceedings of the 2017 6th International Conference on Measurement, Instrumentation and Automation (ICMIA 2017)
PB  - Atlantis Press
SP  - 440
EP  - 443
SN  - 1951-6851
UR  - https://doi.org/10.2991/icmia-17.2017.80
DO  - 10.2991/icmia-17.2017.80
ID  - Fang2017/06
ER  -