Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws [PDF]
Communication on Applied Mathematics and ComputationHigher order finite difference Weighted Essentially Non-Oscillatory (FD-WENO) schemes for conservation laws are extremely popular because, for multidimensional problems, they offer high order accuracy at a fraction of the cost of finite volume WENO or DG
D. Balsara +3 more
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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
Energy Reports, 2020 In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
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High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws [PDF]
, 2014 In [8], the authors have designed a new fifth-order WENO finite-difference scheme (named WENO-eta) by introducing a new local smoothness indicator which is defined based on the Lagrangian interpolation polynomials and has a more succinct form compared ...
Fan P +1 more
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WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws
Journal of Harbin University of Science and Technology, 2017 The research of high accuracy and high resolution schemes have been a hot topic in computational mathematics． According to low resolution and large amount of calculation of the original WENO-JS scheme，we propose a simple new limiter fifth order upwind ...
LI Xing-hua, SUN Yang, AI Xiao-hui
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Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products [PDF]
Communication on Applied Mathematics and ComputationHigher order finite difference Weighted Essentially Non-oscillatory (WENO) schemes for conservation laws represent a technology that has been reasonably consolidated.
D. Balsara +3 more
semanticscholar +1 more source
Zhongguo Jianchuan Yanjiu, 2018 [Objectives] In this paper, an improved third-order WENO scheme named ‘WENO-N+3’ is constructed by adding a suitable term to the weights of the conventional WENO-N3 scheme.
XU Weizheng, WU Weiguo
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A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
Journal of Computational Physics, 2018 In this paper, a new type of high-order finite difference and finite volume multi-resolution weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic conservation laws.
Jun Zhu, Chi-Wang Shu
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Simulations of Compressible, Diffusive, Reactive Flows with Detailed Chemistry Using a High-Order Hybrid WENO-CD Scheme [PDF]
, 2012 A hybrid weighted essentially non-oscillatory (WENO)/centered-difference (CD) numerical method, with low numerical dissipation, high-order shock-capturing, and structured adaptive mesh refinement (SAMR), has been developed for the direct numerical ...
Ziegler, John Lewis (Jack)
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High resolution schemes for bluff-body aerodynamics [PDF]
, 2013 This MSc by Research study has been conducted with the application of a variety of grid configurations for extensive grid analysis along with various numerical schemes on the Ahmed body benchmark test case, in both 2D and 3D analysis.
Nakos, Dimitrios
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High-order methods on mixed-element unstructured meshes for aeronautical applications [PDF]
, 2012 Higher resolution and reliability are the desiderata for Computational Fluid Dynamics and main drivers for the development, implementation and validation of highorder accurate methods.
Antoniadis, Antonis F.
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