A hybrid scheme for the numerical simulation of shock/discontinuity problems
Hoffmann, Klaus A.
MetadataShow full item record
Mahmoudnejad, N., and K.A. Hoffmann. 2011. "A hybrid scheme for the numerical simulation of shock/discontinuity problems". INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS. 25 (9): 469-486.
To address accuracy issues for direct numerical simulation, a hybrid scheme based on the weighted compact scheme (WCS) and weighted essentially non-oscillatory (WENO) scheme is developed. The new hybrid method incorporates the advantages of both schemes. Time integration is performed using the fourth-order total variation diminishing Runge–Kutta method with a characteristic filter. The accuracy of the scheme is assessed using several benchmark problems. Results show that the proposed scheme produces a more accurate solution for problems involving shocks and discontinuities in comparison with the traditional shock-capturing methods.
Click on the DOI link below to access the article (may not be free).
Showing items related by title, author, creator and subject.
Arshed, Ghulam Murshed (Wichita State University, 2012-07)This dissertation proposes improvements in the numerical algorithm for the dynamics of flows that involve discontinuities and broadband fluctuations simultaneously. These two flow features suggest numerical strategies of ...
Holmes, Ellen Rhoads (Lambda Alpha Anthropology Honors Society at Wichita State University, 1989)Self-observation of professional anthropologist on her first field trip to American Samoa.
Minimizing errors from linear and nonlinear weights of WENO scheme for broadband applications with shock waves Arshed, Ghulam Murshed; Hoffmann, Klaus A. (Elsevier, 2013-03-29)Improvements in the numerical algorithm for the dynamics of flows that involve discontinuities and broadband fluctuations simultaneously are proposed. These two flow features suggest numerical strategies of a paradoxical ...