Article
Mathematics, Applied
Ying Wang, Gang Wang, Feng Wang
Summary: This paper presents and analyzes a residual-type a posteriori error estimator for low-order virtual element discretization for the Stokes and Navier-Stokes problems, proving its globally upper and locally lower bounds for discretization error, with modifications for small viscosity cases. The effectiveness and flexibility of the designed error estimator combined with adaptive mesh refinement are verified through a series of benchmark tests.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Priscila C. Calegari, Alexandre M. Roma, Luis C. C. Santos, Guenther C. Krieger Filho
Summary: In this paper, an adaptive numerical methodology is presented for simulating reacting three-dimensional low-Mach number flow. The methodology combines adaptive mesh refinement (AMR), implicit-explicit time stepping strategy (IMEX), an extension of increment-pressure projection method, and mixture fraction modeling for combustion chemistry. The capabilities of the method are demonstrated through numerical verification and simulation of classical diffusion flame examples.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Computer Science, Information Systems
Xianbing Wang, Peng Zhao, Gaofeng Wang
Summary: In this paper, a novel adaptive mesh generation technique is proposed for efficient electromagnetic simulation of RFICs. Various adaptive mesh treatments, such as mesh projection, edge refinement, and via polymerization, are utilized to improve the accuracy and efficiency of electromagnetic computations. Numerical examples are provided to validate the computational accuracy and efficiency of the proposed technique.
Article
Multidisciplinary Sciences
Dong Xu, Jianing Liu, Yunfeng Wu, Chunning Ji
Summary: We propose a simple and generalized Discretized Immersed Boundary Method (DIBM) that significantly improves efficiency by discretizing the interpolation functions and reusing a predefined universal interpolation stencil. DIBM achieves speedup ratios of 30-40 or even higher compared to conventional Immersed Boundary Method (IBM), with estimated errors below 1%.
SCIENTIFIC REPORTS
(2023)
Article
Computer Science, Interdisciplinary Applications
Gabriel F. Barros, Malu Grave, Alex Viguerie, Alessandro Reali, Alvaro L. G. A. Coutinho
Summary: This paper proposes a strategy to enable DMD to extract features from observations with different mesh topologies and dimensions, and applies it to challenging AMR/C simulations. The efficiency of DMD in reconstructing dynamics and relevant quantities of interest is evaluated for various scenarios, including the SEIRD model and the bubble rising problem.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Felix E. Kyburg, Sergio Rojas, Victor M. Calo
Summary: The study models incompressible Stokes flows using an adaptive stabilized finite element method, solving a discretely stable saddle-point problem for the velocity-pressure pair approximation. It analyzes the accuracy of different discrete velocity-pressure pairs in continuous finite element spaces, and validates the framework's performance with numerical examples.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Koliesnikova Daria, Ramiere Isabelle, Lebon Frederic
Summary: This paper provides a detailed comparison of adaptive mesh refinement methods for all-quadrilateral and all-hexahedral meshes in a solids mechanics context. The study highlights the potential of locally adaptive multi-grid methods in terms of efficiency metrics.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
Cezar Augusto Bellezi, Liang-Yee Cheng, Rubens Augusto Amaro Jr, Marcio Michiharu Tsukamoto
Summary: This paper proposes a novel multi-resolution technique called border mapping multi-resolution (BMMR) for projection-based particle methods. The BMMR aims to obtain background equivalent particle distributions in the two sides of a border with a 2:1 resolution ratio, reducing interpolation errors and avoiding unstable local pressure calculations. The accuracy and computational performance of BMMR are verified through benchmark tests of 2D free surface flows.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Sobhan Hatami, Stuart D. C. Walsh
Summary: In this paper, two Adaptive Mesh Refinement (AMR) methods are used to simulate flow through fractures using a novel multiphase model. The fluid is represented by a two-dimensional parallel-plate model that incorporates techniques from lattice-Boltzmann simulations. The results show that the AMR model accurately tracks the interface properties and performs well with different mesh refinement strategies. The relative permeability of immiscible two-phase flow in fractures is computed, and a new parameter is introduced to quantify the effect of flow pattern on the relative permeability.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
(2023)
Article
Computer Science, Interdisciplinary Applications
Yadong Zeng, Han Liu, Qiang Gao, Ann Almgren, Amneet Pal Singh Bhalla, Lian Shen
Summary: We develop a consistent adaptive framework for simulating two-phase flows with adaptive mesh refinement. The framework greatly improves the accuracy and robustness for simulating high density ratio and high Reynolds number flows. The interface capturing level set method is coupled with the conservative form of the Navier-Stokes equations, and a multilevel reinitialization technique is applied for mass conservation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Thermodynamics
J. Potgieter, L. Lombaard, J. Hannay, M. A. Moghimi, P. Valluri, J. P. Meyer
Summary: This study presents a new interface-tracking adaptive mesh refinement model for research on microchannel flow boiling. The model reduces computational costs while maintaining accuracy, and is capable of simulating two-phase flow in three dimensions.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Astronomy & Astrophysics
Milinda Fernando, David Neilsen, Yosef Zlochower, Eric W. Hirschmann, Hari Sundar
Summary: We present results from the new Dendro-GR code, which includes simulations of binary black hole mergers for mass ratios up to q = 16. The code utilizes wavelet adaptive multiresolution and an octree-based data structure to generate an unstructured grid adapted to the spacetime geometry. Validation of the code is achieved through comparisons to LazEv, demonstrating good scaling, improved convergence properties, and efficient usage of computational resources.
Article
Computer Science, Interdisciplinary Applications
Wei Zhang, Yu Pan, Junshi Wang, Valentina Di Santo, George V. Lauder, Haibo Dong
Summary: This paper presents a tree-topological local mesh refinement (TLMR) method on Cartesian grids for simulating bio-inspired flow with multiple moving objects. The TLMR method nests refinement mesh blocks of structured grids to target regions and arranges the blocks in a tree topology. The algorithm is shown to be second-order accurate in space and capable of saving over 80% computational time when refining the grid.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Manuela Bastidas, Carina Bringedal, Iuliu Sorin Pop, Florin Adrian Radu
Summary: The study introduces an efficient numerical strategy based on homogenization theory for solving non-linear parabolic problems in heterogeneous porous media, aiming to reduce computational complexity and maintain accuracy through local mesh refinement and error indicators.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Applied
Rony Keppens, Jannis Teunissen, Chun Xia, Oliver Porth
Summary: MPI-AMRVAC is an open-source, block-grid adaptive framework for hyperbolic/parabolic partial differential equations. It can cover system PDEs of any dimensionality, and has recently added a parallel multi-grid solver for new avenues of extension.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Geography, Physical
S. L. Cornford, D. F. Martin, V. Lee, A. J. Payne, E. G. Ng
ANNALS OF GLACIOLOGY
(2016)
Article
Geosciences, Multidisciplinary
M. S. Waibel, C. L. Hulbe, C. S. Jackson, D. F. Martin
GEOPHYSICAL RESEARCH LETTERS
(2018)
Article
Astronomy & Astrophysics
Pak Shing Li, Daniel F. Martin, Richard I. Klein, Christopher F. McKee
ASTROPHYSICAL JOURNAL
(2012)
Article
Computer Science, Interdisciplinary Applications
Stephen L. Cornford, Daniel F. Martin, Daniel T. Graves, Douglas F. Ranken, Anne M. Le Brocq, Rupert M. Gladstone, Antony J. Payne, Esmond G. Ng, William H. Lipscomb
JOURNAL OF COMPUTATIONAL PHYSICS
(2013)
Article
Geography, Physical
Frank Pattyn, Laura Perichon, Gael Durand, Lionel Favier, Olivier Gagliardini, Richard C. A. Hindmarsh, Thomas Zwinger, Torsten Albrecht, Stephen Cornford, David Docquier, Johannes J. Furst, Daniel Goldberg, G. Hilmar Gudmundsson, Angelika Humbert, Moritz Huetten, Philippe Huybrechts, Guillaume Jouvet, Thomas Kleiner, Eric Larour, Daniel Martin, Mathieu Morlighem, Anthony J. Payne, David Pollard, Martin Rueckamp, Oleg Rybak, Helene Seroussi, Malte Thoma, Nina Wilkens
JOURNAL OF GLACIOLOGY
(2013)
Article
Geosciences, Multidisciplinary
Daniel F. Martin, Stephen L. Cornford, Antony J. Payne
GEOPHYSICAL RESEARCH LETTERS
(2019)
Article
Computer Science, Interdisciplinary Applications
Mark F. Adams, Stephen L. Cornford, Daniel F. Martin, Peter McCorquodale
COMPUTER PHYSICS COMMUNICATIONS
(2019)
Article
Geosciences, Multidisciplinary
S. B. Kachuck, D. F. Martin, J. N. Bassis, S. F. Price
GEOPHYSICAL RESEARCH LETTERS
(2020)
Article
Geography, Physical
Sainan Sun, Frank Pattyn, Erika G. Simon, Torsten Albrecht, Stephen Cornford, Reinhard Calov, Christophe Dumas, Fabien Gillet-Chaulet, Heiko Goelzer, Nicholas R. Golledge, Ralf Greve, Matthew J. Hoffman, Angelika Humbert, Elise Kazmierczak, Thomas Kleiner, Gunter R. Leguy, William H. Lipscomb, Daniel Martin, Mathieu Morlighem, Sophie Nowicki, David Pollard, Stephen Price, Aurelien Quiquet, Helene Seroussi, Tanja Schlemm, Johannes Sutter, Roderik S. W. van de Wal, Ricarda Winkelmann, Tong Zhang
JOURNAL OF GLACIOLOGY
(2020)
Article
Multidisciplinary Sciences
Tamsin L. Edwards, Sophie Nowicki, Ben Marzeion, Regine Hock, Heiko Goelzer, Helene Seroussi, Nicolas C. Jourdain, Donald A. Slater, Fiona E. Turner, Christopher J. Smith, Christine M. McKenna, Erika Simon, Ayako Abe-Ouchi, Jonathan M. Gregory, Eric Larour, William H. Lipscomb, Antony J. Payne, Andrew Shepherd, Cecile Agosta, Patrick Alexander, Torsten Albrecht, Brian Anderson, Xylar Asay-Davis, Andy Aschwanden, Alice Barthel, Andrew Bliss, Reinhard Calov, Christopher Chambers, Nicolas Champollion, Youngmin Choi, Richard Cullather, Joshua Cuzzone, Christophe Dumas, Denis Felikson, Xavier Fettweis, Koji Fujita, Benjamin K. Galton-Fenzi, Rupert Gladstone, Nicholas R. Golledge, Ralf Greve, Tore Hattermann, Matthew J. Hoffman, Angelika Humbert, Matthias Huss, Philippe Huybrechts, Walter Immerzeel, Thomas Kleiner, Philip Kraaijenbrink, Sebastien Le Clec'h, Victoria Lee, Gunter R. Leguy, Christopher M. Little, Daniel P. Lowry, Jan-Hendrik Malles, Daniel F. Martin, Fabien Maussion, Mathieu Morlighem, James F. O'Neill, Isabel Nias, Frank Pattyn, Tyler Pelle, Stephen F. Price, Aure'lien Quiquet, Valentina Radic, Ronja Reese, David R. Rounce, Martin Ruckamp, Akiko Sakai, Courtney Shafer, Nicole-Jeanne Schlegel, Sarah Shannon, Robin S. Smith, Fiammetta Straneo, Sainan Sun, Lev Tarasov, Luke D. Trusel, Jonas Van Breedam, Roderik van de Wal, Michiel van den Broeke, Ricarda Winkelmann, Harry Zekollari, Chen Zhao, Tong Zhang, Thomas Zwinger
Summary: Efficient statistical emulation of melting land ice under various climate scenarios to 2100 indicates a contribution of at least 13 centimetres sea level equivalent. Limiting global warming to 1.5 degrees Celsius would halve the land ice contribution to twenty-first-century sea level rise, with glaciers responsible for half the sea level contribution. Uncertainties in the Antarctic contribution suggest a factor-of-three uncertainty in the land ice contribution until climate policies and the Antarctic response are further constrained.
Article
Computer Science, Hardware & Architecture
Thomas M. Evans, Andrew Siegel, Erik W. Draeger, Jack Deslippe, Marianne M. Francois, Timothy C. Germann, William E. Hart, Daniel F. Martin
Summary: The US Department of Energy Office of Science and the National Nuclear Security Administration initiated the Exascale Computing Project (ECP) in 2016 to prepare mission-relevant applications and scientific software for the delivery of the exascale computers starting in 2023.
INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS
(2022)
Article
Geography, Physical
Samuel B. Kachuck, Morgan Whitcomb, Jeremy N. Bassis, Daniel F. Martin, Stephen F. Price
Summary: Applying a continuum damage-mechanics model to a large-scale ice-sheet model, this study addresses the inaccurate representations of iceberg calving and provides a promising approach to constrain realistic ice-shelf extents and reduce uncertainty in mass-loss projections from the Antarctic ice sheet.
JOURNAL OF GLACIOLOGY
(2022)
Article
Geosciences, Multidisciplinary
Anders Levermann, Ricarda Winkelmann, Torsten Albrecht, Heiko Goelzer, Nicholas R. Golledge, Ralf Greve, Philippe Huybrechts, Jim Jordan, Gunter Leguy, Daniel Martin, Mathieu Morlighem, Frank Pattyn, David Pollard, Aurelien Quiquet, Christian Rodehacke, Helene Seroussi, Johannes Sutter, Tong Zhang, Jonas Van Breedam, Reinhard Calov, Robert DeConto, Christophe Dumas, Julius Garbe, G. Hilmar Gudmundsson, Matthew J. Hoffman, Angelika Humbert, Thomas Kleiner, William H. Lipscomb, Malte Meinshausen, Esmond Ng, Sophie M. J. Nowicki, Mauro Perego, Stephen F. Price, Fuyuki Saito, Nicole-Jeanne Schlegel, Sainan Sun, Roderik S. W. van de Wal
EARTH SYSTEM DYNAMICS
(2020)
Article
Geography, Physical
S. L. Cornford, D. F. Martin, A. J. Payne, E. G. Ng, A. M. Le Brocq, R. M. Gladstone, T. L. Edwards, S. R. Shannon, C. Agosta, M. R. van den Broeke, H. H. Hellmer, G. Krinner, S. R. M. Ligtenberg, R. Timmermann, D. G. Vaughan
Article
Geosciences, Multidisciplinary
Xylar S. Asay-Davis, Stephen L. Cornford, Gael Durand, Benjamin K. Galton-Fenzi, Rupert M. Gladstone, G. Hilmar Gudmundsson, Tore Hattermann, David M. Holland, Denise Holland, Paul R. Holland, Daniel F. Martin, Pierre Mathiot, Frank Pattyn, Helene Seroussi
GEOSCIENTIFIC MODEL DEVELOPMENT
(2016)
Article
Computer Science, Interdisciplinary Applications
Tian Liang, Lin Fu
Summary: In this work, a new shock-capturing framework is proposed based on a new candidate stencil arrangement and the combination of infinitely differentiable non-polynomial RBF-based reconstruction in smooth regions with jump-like non-polynomial interpolation for genuine discontinuities. The resulting scheme achieves high order accuracy and resolves genuine discontinuities with sub-cell resolution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lukas Lundgren, Murtazo Nazarov
Summary: In this paper, a high-order accurate finite element method for incompressible variable density flow is introduced. The method addresses the issues of saddle point system and stability problem through Schur complement preconditioning and artificial compressibility approaches, and it is validated to have high-order accuracy for smooth problems and accurately resolve discontinuities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Summary: This paper presents a novel convergence analysis of the optimized Schwarz waveform relaxation method for solving optimal control problems governed by periodic parabolic PDEs. The analysis is based on a Fourier-type technique applied to a semidiscrete-in-time form of the optimality condition, which enables a precise characterization of the convergence factor at the semidiscrete level. The behavior of the optimal transmission condition parameter is also analyzed in detail as the time discretization approaches zero.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Summary: This article introduces a scientific machine learning framework that uses a partition of unity architecture to model physics through control volume analysis. The framework can extract reduced models from full field data while preserving the physics. It is applicable to manifolds in arbitrary dimension and has been demonstrated effective in specific problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Nozomi Magome, Naoki Morita, Shigeki Kaneko, Naoto Mitsume
Summary: This paper proposes a novel strategy called B-spline based SFEM to fundamentally solve the problems of the conventional SFEM. It uses different basis functions and cubic B-spline basis functions with C-2-continuity to improve the accuracy of numerical integration and avoid matrix singularity. Numerical results show that the proposed method is superior to conventional methods in terms of accuracy and convergence.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Timothy R. Law, Philip T. Barton
Summary: This paper presents a practical cell-centred volume-of-fluid method for simulating compressible solid-fluid problems within a pure Eulerian setting. The method incorporates a mixed-cell update to maintain sharp interfaces, and can be easily extended to include other coupled physics. Various challenging test problems are used to validate the method, and its robustness and application in a multi-physics context are demonstrated.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xing Ji, Fengxiang Zhao, Wei Shyy, Kun Xu
Summary: This paper presents the development of a third-order compact gas-kinetic scheme for compressible Euler and Navier-Stokes solutions, constructed particularly for an unstructured tetrahedral mesh. The scheme demonstrates robustness in high-speed flow computation and exhibits excellent adaptability to meshes with complex geometrical configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Alsadig Ali, Abdullah Al-Mamun, Felipe Pereira, Arunasalam Rahunanthan
Summary: This paper presents a novel Bayesian statistical framework for the characterization of natural subsurface formations, and introduces the concept of multiscale sampling to localize the search in the stochastic space. The results show that the proposed framework performs well in solving inverse problems related to porous media flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jacob Rains, Yi Wang, Alec House, Andrew L. Kaminsky, Nathan A. Tison, Vamshi M. Korivi
Summary: This paper presents a novel method called constrained optimized DMD with Control (cOptDMDc), which extends the optimized DMD method to systems with exogenous inputs and can enforce the stability of the resulting reduced order model (ROM). The proposed method optimally places eigenvalues within the stable region, thus mitigating spurious eigenvalue issues. Comparative studies show that cOptDMDc achieves high accuracy and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andrea La Spina, Jacob Fish
Summary: This work introduces a hybridizable discontinuous Galerkin formulation for simulating ideal plasmas. The proposed method couples the fluid and electromagnetic subproblems monolithically based on source and employs a fully implicit time integration scheme. The approach also utilizes a projection-based divergence correction method to enforce the Gauss laws in challenging scenarios. Numerical examples demonstrate the high-order accuracy, efficiency, and robustness of the proposed formulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
William Anderson, Mohammad Farazmand
Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Marco Caliari, Fabio Cassini
Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jialei Li, Xiaodong Liu, Qingxiang Shi
Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
