Most natural deformation involves simultaneous discrete deformation (e.g. faults) and distributed deformation (e.g. penetrative strain). In order to properly understand the bulk kinematics of a given deformation, the discrete and distributed components must be evaluated simultaneously. The displacement diagram method has previously been utilized to quantify strain accommodated by faults or othe...

Recently, we introduced and mathematically analysed a new method for grid deformation [12]. This method is a generalisation of the method proposed by Liao [4, 6, 14]. In this article, we investigate the practical aspects of our method. As it requires searching the grid several times per grid point, efficient search methods are crucial for deforming grids in reasonable time, so that we propose a...

Harmonic surface deformation is a well-known geometric modeling method that creates plausible deformations in an interactive manner. However, this method is susceptible to artifacts, in particular close to the deformation handles. These artifacts often correlate with strong gradients of the deformation energy. In this work, we propose a novel formulation of harmonic surface deformation, which i...

We propose and study two second-order in time implicit-explicit (IMEX) methods for the coupled Stokes-Darcy system that governs flows in karst aquifers. The first is a combination of a second-order backward differentiation formula and the second-order Gear’s extrapolation approach. The second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algor...

In recent years several new moving grid methods have shown promising potential for applications in the numerical solution of time dependent differential equations. In this paper, a deformation method is reviewed and some new developments related to the method are presented. In particular, the method is applied to grid morphing and adaptive grid generation on domains with moving boundary. The me...

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Static stiffness is an important indicator of the performance of a rolling guide, having direct influence on the stiffness and precision of computer numerically controlled (CNC) machine tools. After preloading the rolling guide, an outward elastic deformation is generated at the carriage skirt, which leads to a decrease in the static stiffness of the rolling guide. Therefore, there would be rel...