A class of high-order improved fast weighted essentially non-oscillatory schemes for achieving optimal order at any critical points
X Zhang, L Huang, Z Jiang, C Yan - Physics of Fluids, 2022 - pubs.aip.org
The weighted essentially non-oscillatory (WENO) scheme is one of the most popular shock-
capturing schemes, and constructing a more efficient and higher-order WENO scheme has …
capturing schemes, and constructing a more efficient and higher-order WENO scheme has …
Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators
In this paper, we introduce an improved version of the fifth-order weighted essentially non-
oscillatory (WENO) shock-capturing scheme by incorporating deep learning techniques. The …
oscillatory (WENO) shock-capturing scheme by incorporating deep learning techniques. The …
An efficient smoothness indicator mapped WENO scheme for hyperbolic conservation laws
X Zhang, C Yan, F Qu - Computers & Fluids, 2022 - Elsevier
The mapping function method is a common approach to improve the accuracy of WENO type
schemes. However, with the demand of the accuracy improvement higher, the mapping …
schemes. However, with the demand of the accuracy improvement higher, the mapping …
Multi-level WENO schemes with an adaptive characteristic-wise reconstruction for system of Euler equations
R Kumar, P Chandrashekar - Computers & Fluids, 2022 - Elsevier
Abstract The Weighted Essentially Non-Oscillatory (WENO) scheme is an accurate and
robust reconstruction procedure to simulate compressible flows, especially in the presence …
robust reconstruction procedure to simulate compressible flows, especially in the presence …
Deep smoothness weighted essentially non-oscillatory method for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness …
T Kossaczká, AD Jagtap, M Ehrhardt - Physics of Fluids, 2024 - pubs.aip.org
In this work, we enhance the fifth-order Weighted Essentially Non-Oscillatory (WENO) shock-
capturing scheme by integrating deep learning techniques. We improve the established …
capturing scheme by integrating deep learning techniques. We improve the established …
A Hybrid Multilayer Perceptron-Radial Basis Function (HMLP-RBF) Neural Network for Solving Hyperbolic Conservation Laws
This paper combines the multilayer perceptron (MLP) and the radial basis function (RBF)
neural networks to design a hybrid multilayer perceptron-radial basis function (HMLP-RBF) …
neural networks to design a hybrid multilayer perceptron-radial basis function (HMLP-RBF) …
A new fifth order finite difference WENO scheme to improve convergence rate at critical points
In the present work, we construct a new, improved version of fifth-order finite-difference
Weighted Essentially Non-Oscillatory (WENO) scheme with less dissipation to approximate …
Weighted Essentially Non-Oscillatory (WENO) scheme with less dissipation to approximate …
WENO smoothness indicator based troubled‐cell indicator for hyperbolic conservation laws
Hybrid algorithms are an efficient and popular choice for computing the solutions of
hyperbolic conservation laws. In general, hybrid algorithms involve low‐cost high‐order …
hyperbolic conservation laws. In general, hybrid algorithms involve low‐cost high‐order …
Finite difference modified WENO schemes for hyperbolic conservation laws with non‐convex flux
Abstract The Weighted Essentially Non‐Oscillatory (WENO) reconstruction provides higher‐
order accurate solutions to hyperbolic conservation laws for convex flux. But it fails to …
order accurate solutions to hyperbolic conservation laws for convex flux. But it fails to …
Hybrid Cbsqi-Weno Schemes for Convection Diffusion Problems
Abstract The B-spline Quasi-Interpolation (BSQI) based numerical scheme is a successful
method for obtaining the solution to partial differential equations under sufficient regularity …
method for obtaining the solution to partial differential equations under sufficient regularity …