| Author | Carlo L. Bottasso |
|---|---|
| Title | On the Computation of the Boundary Integral of Space-Time Deforming Finite Elements |
| Year | 1995 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 13(2) |
| Pages | 53-59 |
| Abstract | We present the integrated-by-parts version of the Time-Discontinuous Galerkin Least-Squares finite element formulation for the solution of the unsteady compressible Navier-Stokes equations in three dimension for problems involving moving boundary and interfaces. The deformation of the spatial domain is automatically taken into account writing the weak form of the problem over its space-time domain. The integration by parts in the three-dimensional spatial case is non-trivial, since one needs to apply the Gauss Theorem in a 4-D space-Time continuum. We address the problem developing an application of the General Stokes' Theorem. |
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