Tag Archives: method of characteristics

Parallel implementation of a non-hydrostatic model for free surface flows with semi-Lagrangian advection treatment

Jacek A. Jankowski

Abstract. The parallel implementation of an unstructured-grid, three-dimensional, semi-implicit finite difference and finite volume model for the free surface Navier-Stokes equations (UnTRIM) is presented and discussed. The new developments are aimed to make the code available for high performance computing in order to address larger, complex problems in environmental free surface flows. Continue reading

Parallel streamline tracking for Telemac

Jacek A. Jankowski. Parallel streamline tracking for Telemac, 15th Telemac User Club, Chatou, 9-10 October 2008.

The Telemac adaptation of the parallel streamline tracking algorithm for the domain decomposition method, originally developed for the MPI version of UnTRIM, is described in detail. Continue reading

Further developments of UnTRIM: parallel implementation and its verification

Jacek A. Jankowski. Further developments of UnTRIM: parallel implementation and its verification, ISEH V – IAHR Fifth International Symposium on Environmental Hydraulics, 2007, Tempe, Arizona, USA.

This presentation is complementary to the contributed conference paper. It is a summary of all stages of the development of the parallel version of UnTRIM applying the domain decomposition method and message passing (MPI): Continue reading

Further developments of UnTRIM: parallel implementation and its verification

J.A. Jankowski

Abstract. This contribution deals with further developments of UnTRIM, an unstructured-grid, three-dimensional, semi-implicit finite difference finite volume model for the shallow water equations (Casulli, 2002). Attractive numerical properties of the method like its robustness due to the unlimited stability and successes in practical applications spawned efforts aimed at making the available code fit for the high performance computing in order to address larger, complex problems in hydraulic engineering. Continue reading

Parallel streamline tracking for UnTRIM

Jacek A. Jankowski. Parallel streamline tracking for UnTRIM, 4th UnTRIM Workshop, Trento, 7-9 May 2007.

The parallel streamline tracking algorithm for the domain decomposition method applied in the MPI version of UnTRIM, is described in detail. The streamline tracking is the integral part of the semi-Lagrangian method of characteristics, being one of the most robust methods for the non-linear momentum advection, working also for larger Courant numbers. The method is however awkward to parallelise in the framework of the point-to-point communication typical for the domain decomposition method. Continue reading