Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Nonlinear filters for efficient shock computation


Authors: Björn Engquist, Per Lötstedt and Björn Sjögreen
Journal: Math. Comp. 52 (1989), 509-537
MSC: Primary 65M05; Secondary 35L65
MathSciNet review: 955750
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A new type of methods for the numerical approximation of hyperbolic conservation laws with discontinuous solution is introduced. The methods are based on standard finite difference schemes. The difference solution is processed with a nonlinear conservation form filter at every time level to eliminate spurious oscillations near shocks. It is proved that the filter can control the total variation of the solution and also produce sharp discrete shocks. The method is simpler and faster than many other high resolution schemes for shock calculations. Numerical examples in one and two space dimensions are presented.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65M05, 35L65

Retrieve articles in all journals with MSC: 65M05, 35L65


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1989-0955750-9
PII: S 0025-5718(1989)0955750-9
Article copyright: © Copyright 1989 American Mathematical Society