Campus Fuentenueva, 18071 Granada (Spain)
Johnson Center 336, Meeting Room F, 3:00PM
Refreshments will be served
Some approaches for the numerical simulation of environmental flows with interfaces will be outlined. Two main issues are considered. First, a method for the computation of fluid flow and sediment transport past evolutionary landforms will be treated. The model fully couples flow aloft with developing landforms. Numerical experiments verifying the adopted theoretical and numerical framework will be reproduced, and in particular, evolutionary sand dunes, a fundamental dynamical mechanism with challenging details. Second, a sign-preserving finite element method will be discussed. Sign-preservation is essential for algorithms to avoid unphysical computed
values of a positive definite property transported by a fluid flow. Some numerical experiments and current developments for shallow water flows will be reported.
Ortiz, P., Non-oscillatory continuous FEM for transport and shallow water flows. Comput. Methods Appl. Mech. Engrg. 2012; 223-224:55-69.
Ortiz, P. and Smolarkiewicz, P.K., Coupling the dynamics of boundary layers and evolutionary dunes, Physical Review E 2009; 79:041307.
Ortiz, P., Zienkiewicz, O.C. and Szmelter, J., Hydrodynamics and transport in estuaries and rivers by the CBS finite element method. Int. J. Numer. Meth. Engng 2006; 66:1569-1586.