CWENO: uniformly accurate reconstructions for balance laws

I Cravero, G Puppo, M Semplice, G Visconti - Mathematics of Computation, 2018 - ams.org
In this paper we introduce a general framework for defining and studying essentially
nonoscillatory reconstruction procedures of arbitrarily high order of accuracy, interpolating …

Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes

M Dumbser, W Boscheri, M Semplice, G Russo - SIAM Journal on Scientific …, 2017 - SIAM
We present a novel family of arbitrary high order accurate central Weighted ENO (CWENO)
finite volume schemes for the solution of nonlinear systems of hyperbolic conservation laws …

Cool WENO schemes

I Cravero, G Puppo, M Semplice, G Visconti - Computers & Fluids, 2018 - Elsevier
This work is dedicated to the development and comparison of WENO-type reconstructions
for hyperbolic systems of balance laws. We are particularly interested in high order shock …

GPU optimization for high-quality kinetic fluid simulation

Y Chen, W Li, R Fan, X Liu - IEEE Transactions on Visualization …, 2021 - ieeexplore.ieee.org
Fluid simulations are often performed using the incompressible Navier-Stokes equations
(INSE), leading to sparse linear systems which are difficult to solve efficiently in parallel …

An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws

W Zhong, S Wang, J Qiu, J Gao - Journal of Computational Physics, 2023 - Elsevier
Abstract Ha et al.[1] have constructed a novel set of smoothness indicators by using the L 1-
norm measure and introducing a user-tunable parameter to propose a new WENO scheme …

A simple smoothness indicator for the WENO scheme with adaptive order

C Huang, LL Chen - Journal of Computational Physics, 2018 - Elsevier
The fifth order WENO scheme with adaptive order is competent for solving hyperbolic
conservation laws, its reconstruction is a convex combination of a fifth order linear …

Continuous-scale kinetic fluid simulation

W Li, K Bai, X Liu - IEEE transactions on visualization and …, 2018 - ieeexplore.ieee.org
Kinetic approaches, ie, methods based on the lattice Boltzmann equations, have long been
recognized as an appealing alternative for solving incompressible Navier-Stokes equations …

[PDF][PDF] Detail-preserving fully-Eulerian interface tracking framework

N Heo, HS Ko - ACM Trans. Graph., 2010 - researchgate.net
This paper introduces a fully-Eulerian interface tracking framework that preserves the fine
details of liquids. Unlike existing Eulerian methods, the proposed framework shows good …

Computation of helicopter phenomena using a higher order method

U Kowarsch, C Oehrle, M Hollands, M Keßler… - … Computing in Science …, 2013 - Springer
The enhancement of the structured Computational Fluid Dynamics solver FLOWer in the
field of flux computation and its advantage to numerical helicopter simulations is presented …

A simple algorithm to improve the performance of the WENO scheme on non-uniform grids

WF Huang, YX Ren, X Jiang - Acta Mechanica Sinica, 2018 - Springer
This paper presents a simple approach for improving the performance of the weighted
essentially non-oscillatory (WENO) finite volume scheme on non-uniform grids. This …