The 3D elliptical parcel-in-cell (EPIC) method

DOI10.1016/j.jcpx.2023.100136MaRDI QIDQ6145483

David Gerard Dritschel, Steven Böing, Matthias Frey

Publication date: 9 January 2024

Published in: Journal of Computational Physics: X (Search for Journal in Brave)

zbMATH Keywords

turbulent flowsPICLagrangian methodsdensity stratified flowselliptical parcels

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Incompressible inviscid fluids (76Bxx) Incompressible viscous fluids (76Dxx)

Cites Work

• Computing nearly singular solutions using pseudo-spectral methods
• The Jacobi method for real symmetric matrices
• A robust algorithm for finding the eigenvalues and eigenvectors of \(3 \times 3\) symmetric matrices
• The generation and diffusion of vorticity in three-dimensional flows: Lyman's flux
• EFFICIENT NUMERICAL DIAGONALIZATION OF HERMITIAN 3 × 3 MATRICES
• Local balance and cross-scale flux of available potential energy
• On potential energy density in an incompressible, stratified fluid
• The quasi-geostrophic ellipsoidal vortex model
• Available potential energy and mixing in density-stratified fluids
• Vorticity generation and conservation on generalised interfaces in three-dimensional flows
• The stability of inviscid Beltrami flow between parallel free-slip impermeable boundaries
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I

This page was built for publication: The 3D elliptical parcel-in-cell (EPIC) method