Here we outline a modification of the second order central difference scheme based on staggered spatial grids due to Nessyahu and Tadmor [H. Nessyahu, E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys. 87 (1990) 408] to a non-staggered scheme for...

For the simulation of transport processes in porous media effective parameters for the physical processes on the target scale are required. Numerical upscaling, as well as multiscale approaches can help where experiments are not possible, or hard to conduct.

A high-order finite element method, total variational diminishing (TVD) Runge–Kutta discontinuous Galerkin method is investigated to solve free-surface problems in hydraulic dynamics. Some cases of circular dam and rapidly varying two-dimensional flows are presented to show the efficiency and...

We present a high-order discontinuous Galerkin (DG) method for solving the time-dependent Maxwell equations on non-conforming hybrid meshes. The hybrid mesh combines unstructured tetrahedra for the discretization of irregularly shaped objects with a hexahedral mesh for the rest of the...

This review covers the broad scope of ocean hydrodynamics on offshore marine structures, laying the framework for studying offshore wind energy with a variety of engineering methods. First, water wave theory is described beginning with the fundamental equations of fluid mechanics. A variety of...

Aerodynamic noise is one of the most serious barriers in wind energy development. To develop technologies for wind turbine noise reduction and assessment, noise needs to be predicted precisely with special consideration given to blade flexibility. The numerical tool, WINFAS, which can simulate...

The study is concerned about a mathematical modelling of complex clearance flow in two-dimensional models of a male rotor-housing gap and of an undesirable gap caused by the incorrect contact of rotor teeth in a screw-type machine. Both problems are solved as a non-stationary turbulent...

This paper addresses the following question: Is there any kind of effective density for the description of momentum transport of a compressible fluid in porous media? Pioneering 1956 Biot’s results and subsequent experimental and theoretical work suggest the convenience of introducing an...

“Can a single car really absorb a traffic jam without making new jams?” In this paper, we focus on this frequently-discussed question, and have succeeded in making a theoretical framework of a driving technique how to absorb a traffic jam by using a minimal microscopic model. Jam-absorption...

In this paper, a rigid thickless lamina is immersed in a quiescent viscous fluid and it undergoes transverse finite amplitude harmonic oscillations near a solid surface. The surrounding flow physics is computed through the lattice Boltzmann method. In order to account for the presence of the...