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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.


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The Integrated Space-Time Finite Volume
✍ P.J. Zwart; G.D. Raithby; M.J. Raw 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 10 KB

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

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✍ Sin-Chung Chang; Xiao-Yen Wang; Wai-Ming To 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 198 KB

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