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

  947-972

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

  Lin Fu

  973-1007

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

  Philippe Angot, Rima Cheaytou

  1008-1038

  [An open-access article; the PDF is free to any online user.]

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

  Yihui Han, Xiaoping Xie

  1039-1070

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• 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

  1071-1097

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• 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

  1098-1117

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

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

  1118-1142

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• Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories

  Yu-Keung Ng, Shingyu Leung

  1143-1177

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• An MRT Extension to the Multigrid Lattice Boltzmann Method

  Charles Armstrong, Yan Peng

  1178-1195

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

  Jun Fang, Xingyu Gao, Haifeng Song

  1196-1223

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

  Ruihan Guo, Yan Xu

  1224-1248

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