Abstract
Total Variation Diminishing (TVD) schemes
are widely used to capture high resolution and nonoscillatory supersonic and hypersonic flow problems.
However, discretization and decoupling of the governing
equations into nonlinear wave equation induces false
numerical dissipation which affects the accuracy of
results as well as rate of convergence. This deficiency of
TVD schemes can be reduced by an adequate treatment
of various parameters that signifies the effect of this
dissipation. An appropriate scaling of eigenvectors and
eigenvector matrix is one of the strategies to control the
amount of numerical dissipation. In present work,
hybrid scaling based on some classical scaling factors is
proposed and tested on shock tube problem using SOD,
Lax and Inverse Shock test cases. Although the
computed results are found to be slightly less dissipative
in comparison to the scaling used by Hoffmann and Yee,
the proposed hybridized scaling and its theoretical
aspects on Harten’s 2nd order TVD scheme has opened
new challenges for the researchers.
Noor Fatima Siddiqui, Mukkarum Hussain, Asif Raza Khan. (2020) Optimized Decoupling of Hyperbolic Conservation Laws to Predict High Speed Flow Physics, Journal of Space Technology , Volume 10, Issue 1.
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