Time Step Criteria for Solving Unsteady Engineering Field Problems
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Abstract Parabolic equations govern a variety of time-dependent problems in science and engineering. Applying numerical methods such as the finite element or the finite difference method in the space domain changes the partial differential equation to a system ordinary differential equations (ODE’s). Another numerical method is needed to solve the ODE’s in the time domain. The following paper presents time step estimates to solve the system of ODE’s that satisfy both stability and accuracy criteria. These time steps are related to the Froude and Courant Numbers. Suggestions as to which time scheme is the best to use is also presented.
2013 ◽
Vol 347-350
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pp. 1758-1762
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2017 ◽
Vol 36
(4)
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pp. 1089-1105
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2014 ◽
Vol 14
(02)
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pp. 1350065
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1992 ◽
Vol 114
(3)
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pp. 175-184
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