High resolution methods for multidimensional advection diffusion problems in free-surface hydrodynamics

By Vincenzo Casulli, Paola Zanolli. 2005

133 citations recorded by the source corpus.

Subfields: Computational Mechanics, Earth-Surface Processes

View Paper: https://www.semanticscholar.org/paper/6d4b9e3953908a865aa9a198f5bbebf5420b9458

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. F. Ye
2. S. Grashorn
3. Y. Zhang
4. E. Stanev

In Earth-Surface Processes

1. F. Ye
2. S. Grashorn
3. Y. Zhang
4. E. Stanev

Citations in the corpus

• Seamless cross-scale modeling with SCHISM (2016, methodology): “Tracer advection scheme: TVD 2 The 2nd-order TVD scheme in SELFE is explicit in 3D space and thus subject to the Courant condition, which comprises of horizontal and vertical fluxes across each of the prism faces ( Casulli and Zanolli 2005 ).”
• An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal ocean simulator (2006, unknown): “Roe, 1984), while Casulli and Zanolli (2005) extend the concept of the flux limiter used in the TVD schemes to unstructured grids in order to improve the interpolation accuracy while guaranteeing the min– max principle of the advected quantity.”
• SELFE: A semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation (2008, background): “(31), the FVUM guarantees mass conservation and the maximum principle (i.e., the solution is bounded by the maximum and minimum of the initial and boundary conditions; Casulli and Zanolli, 2005), and thus is usually preferred over the ELM approach.”