Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644958 | Applied Numerical Mathematics | 2015 | 9 Pages |
Abstract
We consider the generalization of high-order upwind Strang methods for simulating waves. In 1+11+1 dimensions the methods can be defined via the exact evolution over a single time step of an odd-order piecewise polynomial interpolant of the grid data. We construct a true multidimensional version for acoustic waves by applying the solution operator in integral form to the interpolant. We also examine the replacement of polynomials by bandlimited interpolation functions (BLIFs). Numerical experiments with turbulent wave fields are presented to verify the accuracy and stability of the multidimensional methods and to assess the relative effectiveness of the two interpolation techniques.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Thomas Hagstrom,