83 citations · 126 across the 5 of their papers we have counts for
5 papers
A High Order Cartesian Grid, Finite Volume Method for Elliptic Interface Problems
Will Thacher, Hans Johansen, Daniel Martin
We present a higher-order finite volume method for solving elliptic PDEs with jump conditions on interfaces embedded in a 2D Cartesian grid. Second, fourth, and sixth order accurac…
A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries
Nathaniel Overton-Katz, Xinfeng Gao, Stephen Guzik +3
A fourth-order finite volume embedded boundary (EB) method is presented for the unsteady Stokes equations. The algorithm represents complex geometries on a Cartesian grid using EB,…
A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies
Nishant Nangia, Hans Johansen, Neelesh A. Patankar +1
We present a moving control volume (CV) approach to computing hydrodynamic forces and torques on complex geometries. The method requires surface and volumetric integrals over a sim…
Recent progress and review of issues related to Physics Dynamics Coupling in geophysical models
Markus Gross, Hui Wan, Philip J. Rasch +19
Geophysical models of the atmosphere and ocean invariably involve parameterizations. These represent two distinct areas: Subgrid processes that the model cannot resolve, and diabat…
A higher-order finite-volume discretization method for Poisson's equation in cut cell geometries
D. Devendran, D. T. Graves, H. Johansen
We present a method for generating higher-order finite volume discretizations for Poisson's equation on Cartesian cut cell grids in two and three dimensions. The discretization is…