The problem of interpolating between discrete fields arises frequently in computational
physics. The obvious approach, consistent interpolation, has several drawbacks such as …

Mesh adaptivity on unstructured meshes is a proven and popular tool for reducing the
computational cost of numerical simulations. Unstructured meshes are often preferred in …

We present a new computational modeling framework, Fluidity, for application to a range of
two‐and three‐dimensional geodynamic problems, with the focus here on mantle …

Research into the use of unstructured mesh methods in oceanography has been growing
steadily over the past decade. The advantages of this approach for domain representation …

Unstructured grid adaptation is a tool to control Computational Fluid Dynamics (CFD)
discretization error. However, adaptive grid techniques have made limited impact on …

Unstructured grid adaptation is a technology that holds the potential to improve the
automation and accuracy of computational fluid dynamics and other computational …

Adaptive meshes are pivotal in numerical modeling and simulation, offering a means to
efficiently, precisely, and flexibly represent intricate physical phenomena, particularly when …

A new anisotropic mesh adaptation strategy for finite element solution of elliptic differential
equations is presented. It generates anisotropic adaptive meshes as quasi-uniform ones in …

Numerical simulations are used to evaluate the impact of adaptive meshes on the two-
dimensional lock-exchange flow. In particular, the diapycnal mixing is quantified through …

Small-scale experiments of volcanic ash particle settling in water have demonstrated that
ash particles can either settle slowly and individually, or rapidly and collectively as a …