The proceedings of the JSME annual meeting
Online ISSN : 2433-1325
2003.1
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Benchmark test of numerical scheme for continuum equation
Takayuki AokiYohsuke IMAIKoichi SAKURAIKaori KATO
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CONFERENCE PROCEEDINGS FREE ACCESS

Pages 35-36

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Abstract
A benchmark test for one-dimensional continuum equation is proposed to evaluate numerical schemes to solve hydrodynamic equations. An analytic solution with the profile including discontinuities is derived by means of Lagrangian transformation. The numerical results of various schemes are compared from the view points of mass conservation, sharpness of the discontinuity, and overshoot and undershoot of the profiles after expanding and compressing phases.
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© 2003 The Japan Society of Mechanical Engineers
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