This book provides a self-contained introduction to the simulation of flow and transport in
porous media, written by a developer of numerical methods. The reader will learn how to …

We construct $ H (\mathrm {curl}) $ and $ H (\mathrm {div}) $ conforming finite elements on
convex polygons and polyhedra with minimal possible degrees of freedom, ie, the number of …

Nodal integral method (NIM) is derived in general, 2D, curvilinear coordinates and applied
to solve the convection–diffusion equation in domains discretized using quadrilateral …

In this paper, a new high-order streamline simulation method with a known pressure
boundary is proposed. It extends the Riemann approach along streamlines from constant …

We combine theoretical results from polytope domain meshing, generalized barycentric
coordinates, and finite element exterior calculus to construct scalar-and vector-valued basis …

Skeletal muscles are characterized by a large diversity in anatomical architecture and
function. Muscle force and contraction are generated by contractile fiber cells grouped in …

The fully implicit method is the most commonly used approach to solve black-oil problems in
reservoir simulation. The method requires repeated linearization of large nonlinear systems …

In Lagrangian meshfree methods, the underlying spatial discretization, referred to as a point
cloud or a particle cloud, moves with the flow velocity. In this paper, we consider different …

Flow diagnostics tools yield quantitative information about the flow behaviour of a model,
based on controlled numerical flow experiments. We consider a family of flow diagnostic …

We analyse several vector reconstruction methods, based on the knowledge of only specific
pointwise vector components, and extend their use to non-structured polygonal C-grids on …