Name
Title | ||
|---|---|---|
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. |
Abstract | ||
|---|---|---|
The Lagrangian finite volume (FV) cell-centered hydrodynamic (CCH) method and the Lagrangian discontinuous Galerkin (DG) CCH method have been demonstrated to be quite stable and capable of producing very accurate solutions on many mesh topologies. However, some challenges can arise with higher-order elements and polygonal elements that have many deformational degrees of freedom. With these types of meshes, elements can deform in unphysical ways and the mesh can tangle. We present methods for obtaining more robust Lagrangian solutions on polygonal and higher-order elements. The robustness is achieved by (1) incorporating a new iterative method that modifies the velocity reconstructions in the corners of the elements, and (2) a new multidirectional approximate Riemann solver that, when coupled with the iterative method, reduces spurious mesh motion. The details of the numerical methods are discussed and their utility is demonstrated on a diverse suite of test problems using higher-order and polygonal elements. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.jcp.2018.06.008 | Journal of Computational Physics |
Keywords | Field | DocType |
Lagrangian,Cell-centered hydrodynamics,Discontinuous Galerkin,Mesh robustness,Hourglass model | Discontinuous Galerkin method,Polygon,Polygon mesh,Mathematical analysis,Iterative method,Robustness (computer science),Numerical analysis,Finite volume method,Mathematics,Riemann solver | Journal |
Volume | ISSN | Citations |
372 | 0021-9991 | 1 |
PageRank | References | Authors |
0.36 | 16 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nathaniel R. Morgan | 1 | 52 | 7.68 |
| Xiaodong Liu | 2 | 57 | 20.69 |
| Donald E. Burton | 3 | 52 | 5.40 |