39th Aerospace Sciences Meeting and Exhibit 2001
DOI: 10.2514/6.2001-83
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Modified entropy correction formula for the Roe scheme

Abstract: Abstract1 To avoid un-realistic solutions like expansion shocks from appearing as a part of a solution it is necessary to satisfy the entropy condition for the Roe scheme. A variety of entropy fix formulae for the Roe scheme have been addressed in the literature. Three of the most famous are due to Harten-Hyman and Hoffmann-Chiang. These formulations have been assessed in this paper by applying them to the inviscid Burgers' equation and shock tube problem. These entropy fix formulations are unable to totally d… Show more

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Cited by 38 publications
(31 citation statements)
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“…Also, is the eigenvalue of the ux Jacobian matrix determined at Roe's averaged condition [32]. The numerical ux using Roe scheme is obtained from the following formulae:…”
Section: Spatial Discretizationmentioning
confidence: 99%
“…Also, is the eigenvalue of the ux Jacobian matrix determined at Roe's averaged condition [32]. The numerical ux using Roe scheme is obtained from the following formulae:…”
Section: Spatial Discretizationmentioning
confidence: 99%
“…To avoid expansion shocks from appearing we use a previously developed algorithm which given by Kermani and Plett (2001).…”
Section: Time and Space Discretizationmentioning
confidence: 99%
“…The Roe scheme gives non-physical expansion shocks in the regions where the eigenvalues of the Jacobian matrix vanish, e.g., the sonic regions and the stagnation points. To obtain a physical solution under the abovementioned conditions, an entropy correction formula from Kermani and Plett (2001b) is used.…”
Section: Solver Descriptionmentioning
confidence: 99%