Articles

• High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

  Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang

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  62596 3419 Pages:947-972

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

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  48449 3215 Pages:973-1007

• Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

  Philippe Angot, Rima Cheaytou

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  45404 4508 Pages:1008-1038 Open-access

• Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

  Yihui Han, Xiaoping Xie

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  45496 3297 Pages:1039-1070

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

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  46000 3286 Pages:1071-1097

• A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio

  Tao Lu, Xuguang Yang, Fu Xiao, Tao Wen

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  46498 3217 Pages:1098-1117

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

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  44796 3146 Pages:1118-1142

• Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories

  Yu-Keung Ng, Shingyu Leung

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  46453 3265 Pages:1143-1177

• An MRT Extension to the Multigrid Lattice Boltzmann Method

  Charles Armstrong, Yan Peng

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  45365 3187 Pages:1178-1195

• Implementation of the Projector Augmented-Wave Method: The Use of Atomic Datasets in the Standard PAW-XML Format

  Jun Fang, Xingyu Gao, Haifeng Song

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  47030 3161 Pages:1196-1223

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

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  49349 3127 Pages:1224-1248