Several Models for Verificating Numerical Solution of Euler Equation
The authors have successively found numerical examples in which the computational error of the WENO is larger than that of the first-order upwinding scheme under specific conditions since 2018.
Jun LIU, Yu LIU
doaj +1 more source
Numerical Simulation of Conical and Linear-Shaped Charges Using an Eulerian Elasto-Plastic Multi-Material Multi-Phase Flow Model with Detonation. [PDF]
Yeom GS.
europepmc +1 more source
This paper develops a numerical simulation method for polymer-flooding reservoirs using the high-order Weighted Essentially Non-Oscillatory (WENO) scheme.
Xinlong Zhang +3 more
core +1 more source
A New WENO‐Based Momentum Advection Scheme for Simulations of Ocean Mesoscale Turbulence
Current eddy‐permitting and eddy‐resolving ocean models require dissipation to prevent a spurious accumulation of enstrophy at the grid scale. We introduce a new numerical scheme for momentum advection in large‐scale ocean models that involves upwinding ...
Simone Silvestri +6 more
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KFVM-WENO: A High-order Accurate Kernel-based Finite Volume Method for Compressible Hydrodynamics
This paper presents a fully multidimensional kernel-based reconstruction scheme for finite volume methods applied to systems of hyperbolic conservation laws, with a particular emphasis on the compressible Euler equations. Nonoscillatory reconstruction is
Ian C. T. May, Dongwook Lee
doaj +1 more source
On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics. [PDF]
Xu F +5 more
europepmc +1 more source
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. [PDF]
Petras A, Ling L, Ruuth SJ.
europepmc +1 more source
MFC: An open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver. [PDF]
Bryngelson SH +5 more
europepmc +1 more source
Well-balanced methods for computational astrophysics. [PDF]
Käppeli R.
europepmc +1 more source
An Alternative Finite Difference WENO-Like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems. [PDF]
Balsara DS, Bhoriya D, Shu CW.
europepmc +1 more source

