A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements

P. Castonguay; P. E. Vincent; A. Jameson

doi:10.1007/s10915-011-9505-3

A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements

Journal of Scientific Computing ◽

10.1007/s10915-011-9505-3 ◽

2011 ◽

Vol 51 (1) ◽

pp. 224-256 ◽

Cited By ~ 75

Author(s):

P. Castonguay ◽

P. E. Vincent ◽

A. Jameson

Keyword(s):

High Order ◽

Flux Reconstruction ◽

New Class ◽

Order Energy ◽

Triangular Elements ◽

Energy Stable

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A New Class of High-Order Energy Stable Flux Reconstruction Schemes

Journal of Scientific Computing ◽

10.1007/s10915-010-9420-z ◽

2010 ◽

Vol 47 (1) ◽

pp. 50-72 ◽

Cited By ~ 195

Author(s):

P. E. Vincent ◽

P. Castonguay ◽

A. Jameson

Keyword(s):

High Order ◽

Flux Reconstruction ◽

New Class ◽

Order Energy ◽

Energy Stable

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Effective high-order energy stable flux reconstruction methods for first-order hyperbolic linear and nonlinear systems

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109475 ◽

2020 ◽

Vol 414 ◽

pp. 109475

Author(s):

Shuai Lou ◽

Shu-sheng Chen ◽

Bo-xi Lin ◽

Jian Yu ◽

Chao Yan

Keyword(s):

Nonlinear Systems ◽

High Order ◽

Flux Reconstruction ◽

First Order ◽

Order Energy ◽

Reconstruction Methods ◽

Linear And Nonlinear ◽

Energy Stable ◽

Linear And Nonlinear Systems

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Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations

49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2011-686 ◽

2011 ◽

Cited By ~ 18

Author(s):

Patrice Castonguay ◽

Peter Vincent ◽

Antony Jameson

Keyword(s):

Euler Equations ◽

High Order ◽

Flux Reconstruction ◽

Order Energy ◽

Energy Stable

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Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112981 ◽

2020 ◽

Vol 364 ◽

pp. 112981 ◽

Cited By ~ 1

Author(s):

Jaemin Shin ◽

Hyun Geun Lee ◽

June-Yub Lee

Keyword(s):

Phase Field ◽

High Order ◽

Order Energy ◽

Time Simulation ◽

Long Time ◽

Energy Stable ◽

Phase Field Crystal

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A systematic methodology for constructing high-order energy stable WENO schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2009.03.002 ◽

2009 ◽

Vol 228 (11) ◽

pp. 4248-4272 ◽

Cited By ~ 80

Author(s):

Nail K. Yamaleev ◽

Mark H. Carpenter

Keyword(s):

High Order ◽

Weno Schemes ◽

Order Energy ◽

Systematic Methodology ◽

Energy Stable

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High-Order Energy Stable WENO Schemes

47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2009-1135 ◽

2009 ◽

Cited By ~ 1

Author(s):

Nail Yamaleev ◽

Mark Carpenter

Keyword(s):

High Order ◽

Weno Schemes ◽

Order Energy ◽

Energy Stable

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High-Order Methods for Diffusion Equation with Energy Stable Flux Reconstruction Scheme

49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2011-46 ◽

2011 ◽

Cited By ~ 1

Author(s):

Kui Ou ◽

Peter Vincent ◽

Antony Jameson

Keyword(s):

Diffusion Equation ◽

High Order ◽

Flux Reconstruction ◽

High Order Methods ◽

Reconstruction Scheme ◽

Energy Stable

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High-order energy stable schemes of incommensurate phase-field crystal model

Electronic Research Archive ◽

10.3934/era.2020059 ◽

2020 ◽

Vol 28 (2) ◽

pp. 1077-1093

Author(s):

Kai Jiang ◽

◽

Wei Si

Keyword(s):

Phase Field ◽

High Order ◽

Incommensurate Phase ◽

Order Energy ◽

Crystal Model ◽

Energy Stable Schemes ◽

Energy Stable ◽

Phase Field Crystal

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Study of high-order energy-stable discretization techniques for compressible flows

10.3990/1.9789036541008 ◽

2016 ◽

Cited By ~ 1

Author(s):

G. Giangaspero

Keyword(s):

Compressible Flows ◽

High Order ◽

Order Energy ◽

Energy Stable

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Stability of energy stable flux reconstruction for the diffusion problem using the interior penalty and Bassi and Rebay II numerical fluxes for linear triangular elements

Journal of Computational Physics ◽

10.1016/j.jcp.2018.12.017 ◽

2019 ◽

Vol 380 ◽

pp. 88-118 ◽

Cited By ~ 1

Author(s):

Samuel Quaegebeur ◽

Siva Nadarajah

Keyword(s):

Diffusion Problem ◽

Flux Reconstruction ◽

Interior Penalty ◽

Numerical Fluxes ◽

Triangular Elements ◽

Energy Stable

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