The objective of this package is to implement tools and operations for solving partial differential equations (PDEs) on Cartesian grids. Objects in the domain of interest are handled by immersing them ...

The combination of Cartesian grid and the adaptive mesh refinement (AMR) technology is an effective way to handle complex geometry and solve complex flow problems. Some high-efficiency Cartesian-based ...

Abstract: A transformation electromagnetics-based approach is presented to facilitate the use of fixed Cartesian grids for modeling arbitrarily shaped (convex or nonconvex) curved boundaries in finite ...

An adaptive Cartesian grid (ACG) concept is presented for the fast and robust numerical solution of the 3D Poisson-Boltzmann Equation (PBE) governing the electrostatic interactions of large-scale ...

An adaptive Cartesian grid (ACG) concept is presented for the fast and robust numerical solution of the 3D Poisson–Boltzmann equation (PBE) governing the electrostatic interactions of large-scale ...

In 3 + 1 numerical simulations of dynamic black hole spacetimes, it’s useful to be able to find the apparent horizon(s) (AH) in each slice of a time evolution. A number of AH finders are available, ...

We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate ...

Abstract: Perfectly matched layer (PML) is an efficient absorbing technique for numerical wave simulations. Since it appeared, various improvements have been made. The complex frequency-shifted PML ...

An illustration of a magnifying glass. An illustration of a magnifying glass.