The authors inadvertently failed to reference the space-time conservation element and solution element (CE/SE) method developed by S. C. Chang [The method of space-time conservation element and solution element-A new approach for solving the Navier-Stokes and Euler equations, J. Comput. Phys. 119, 2
The Integrated Space-Time Finite Volume Method and Its Application to Moving Boundary Problems
✍ Scribed by P.J Zwart; G.D Raithby; M.J Raw
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 303 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The integrated space-time finite volume method for predicting time-dependent fluid flow problems is developed. By enforcing discrete conservation over spacetime control volumes which fill the space-time domain, this method satisfies global conservation in space-time while automatically satisfying the Leibnitz Rule and geometrical conservation law. The method is validated using a variety of two-dimensional problems featuring both prescribed and free boundary motion. Advances in other aspects of cell-centered finite volume discretization-most notably in the modelling of diffusion terms and free surface flows-are also described.
📜 SIMILAR VOLUMES
In the space-time conservation element and solution element (CE /SE) method, the independent marching variables used comprise not only the mesh values of the physical dependent variables but also, in contrast to a typical numerical method, the mesh values of the spatial derivatives of these physical