High-order finite difference methods are efficient, easy to program, scale well in multiple
dimensions and can be modified locally for various reasons (such as shock treatment for …

We present a robust and accurate outflow boundary condition and an associated numerical
algorithm for incompressible flow simulations on unbounded physical domains, aiming at …

The interaction of the overlying turbulent flow with a riblet surface and its impact on drag
reduction are analysed. The 'viscous regime'of vanishing riblet spacing, in which the drag …

All numerical calculations will fail to provide a reliable answer unless the continuous
problem under consideration is well posed. Well-posedness depends in most cases only on …

Compared to the traditional modeling of computational fluid dynamics, direct numerical
simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the …

Block-to-block interface interpolation operators are constructed for several common high-
order finite difference discretizations. In contrast to conventional interpolation operators …

We have developed an efficient computational framework for simulating multiple earthquake
cycles with off-fault plasticity. The method is developed for the classical antiplane problem of …

The paper presents a novel, efficient and accurate algorithm for laminar and turbulent flow
simulations. The spatial discretisation is performed with help of the compact difference …

We present an efficient numerical method for earthquake cycle simulations that employs a
finite difference discretization of the off‐fault material to accommodate spatially variable …

A stable and accurate boundary treatment is derived for the second-order wave equation.
The domain is discretized using narrow-diagonal summation by parts operators and the …