Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics

AJ Christlieb, JA Rossmanith, Q Tang - Journal of Computational Physics, 2014 - Elsevier
… In this work we develop a class of high-order finite difference weighted essentially non-oscillatory
(FD-WENO) schemes for solving the ideal magnetohydrodynamic (MHD) equations in …

[PDF][PDF] New computational techniques for finite-difference Weighted Essentially Non-Oscillatory schemes and related problems

MCM Raga - 2014 - roderic.uv.es
… , based on Shu-Osher’s finite-difference schemes, which compute the numerical fluxes at …
finite-difference WENO scheme, in this work we analyze different strategies as using different

Essentially non-oscillatory and weighted essentially non-oscillatory schemes

CW Shu - Acta Numerica, 2020 - cambridge.org
… The main idea of ENO and WENO schemes is actually an approximation procedure, aimed
… an essentially non-oscillatory fashion. Both finite volume and finite difference schemes have …

A comparison of high-order explicit and non-oscillatory finite difference advection schemes for climate and weather models

KA Tan, RP Morison, LM Leslie - Meteorology and Atmospheric Physics, 2005 - Springer
… advection requires that constraints such as positivedefiniteness be satisfied. For these
problems, the Flux Corrected Transport (FCT) and weighted essentially nonoscillatory (WENO) …

Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes

TC Fisher, MH Carpenter, NK Yamaleev… - Journal of Computational …, 2011 - Elsevier
… energy stable weighted essentially non-oscillatory (ESWENO) finite-difference schemes on
… Simultaneously satisfying these constraints is a remote possibility if left strictly to chance. …

A High Order Finite Difference Weighted Essentially NonOscillatory Scheme with a Kernel-Based Constrained Transport Method for Ideal Magnetohydrodynamics

F Cakir, A Christlieb, Y Jiang - SIAM Journal on Scientific Computing, 2021 - SIAM
… In this paper, we extend our work on mesh aligned constrained transport by developing a new
… , Finite difference weighted essentially non-oscillatory schemes with constrained transport

Hybrid finite difference weighted essentially non-oscillatory schemes for the compressible ideal magnetohydrodynamics equation

CH Kim, KI You, Y Ha - Journal of Scientific Computing, 2018 - Springer
… In this paper, we present hybrid weighted essentially non-oscillatory (WENO) schemes with
several … In this paper, we adopt a kind of Constrained Transport scheme [6] to guarantee the …

High order weighted essentially nonoscillatory schemes for convection dominated problems

CW Shu - SIAM review, 2009 - SIAM
… In section 3 we describe the finite difference and finite volume WENO schemes for
solving … In section 4 we describe finite difference WENO schemes for solving the Hamilton–Jacobi …

Non-oscillatory continuous FEM for transport and shallow water flows

P Ortiz - Computer methods in applied mechanics and …, 2012 - Elsevier
non-oscillatory FEM, … transport, the inherent limiting coefficients of the correction method
have a simple rationale and are derived in Appendix A, along the lines of [25] for finite difference

Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation

F Xiao, T Yabe - Journal of computational physics, 2001 - Elsevier
scheme proposed by one of the authors for the linear scalar advection equation [33, 34].
Since constrained … -Lagrangian scheme, we adopt CIP as a phrase standing for constrained