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1. Full Text Open-source MATLAB implementation of consistent discretisations on complex grids
by Lie, Knut–Andreas and Lie, Knut–Andreas and Krogstad, Stein and Krogstad, Stein and Ligaarden, Ingeborg Skjelkvåle and Ligaarden, Ingeborg Skjelkvåle and Natvig, Jostein Roald and Natvig, Jostein Roald and Nilsen, Halvor Møll and Nilsen, Halvor Møll and Skaflestad, Bård and Skaflestad, Bård
Computational geosciences, ISSN 1420-0597, 3/2012, Volume 16, Issue 2, pp. 297 - 322
Mimetic schemes | Unstructured grids | Hydrogeology | MPFA methods | Rate optimisation | Geotechnical Engineering & Applied Earth Sciences | Mathematics | Mathematical Modeling and Industrial Mathematics | Open-source implementation | Consistent discretisations | Soil Science & Conservation | Multiscale methods | Computer software industry | Analysis | Public software | Oil recovery | Open source software | Routines | Freeware | Computational fluid dynamics | Computation | Tools | Data structures | Mathematical models
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2. Full Text High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids
by Abgrall, R and De Santis, D and Ricchiuto, M
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2014, Volume 36, Issue 3, pp. A955 - A983
Advection-diffusion problem | Unstructured meshes | Residual distribution schemes | Higher order schemes | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Modeling and Simulation | Numerical Analysis | Computer Science | Mechanics | Mechanics of the fluids | Physics
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3. Full Text A robust low‐dissipation AUSM‐family scheme for numerical shock stability on unstructured grids
by Zhang, Fan and Liu, Jun and Chen, Biaosong and Zhong, Wanxie
International journal for numerical methods in fluids, ISSN 0271-2091, 05/2017, Volume 84, Issue 3, pp. 135 - 151
SLAU scheme | hybrid scheme | unstructured grids | scalar dissipation term | momentum fluxes | shock instabilities | Mathematics, Interdisciplinary Applications | Physical Sciences | Computer Science, Interdisciplinary Applications | Physics, Fluids & Plasmas | Technology | Computer Science | Mechanics | Mathematics | Physics | Science & Technology | Shock | Numerical analysis | Fluctuations | Stability | Computer simulation | Momentum | Fluxes | Upwind schemes (mathematics) | Accuracy | Robustness (mathematics) | Dissipation | Unstructured grids (mathematics) | Detection | Weighting functions | Mach number | Mathematical analysis | Flux | Instability | Mathematical models
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4. Full Text A limiter‐based well‐balanced discontinuous Galerkin method for shallow‐water flows with wetting and drying: Triangular grids
by Vater, Stefan and Beisiegel, Nicole and Behrens, Jörn
International journal for numerical methods in fluids, ISSN 0271-2091, 11/2019, Volume 91, Issue 8, pp. 395 - 418
shallow‐water equations | wetting and drying | discontinuous Galerkin methods | well‐balanced schemes | stability | limiter | Mathematics, Interdisciplinary Applications | Physical Sciences | Computer Science, Interdisciplinary Applications | Physics, Fluids & Plasmas | Technology | Computer Science | Mechanics | Mathematics | Physics | Science & Technology | Nonlinear equations | Stability | Wetting | Preservation | Nondestructive testing | Benchmarks | Momentum | Integrators | Stability analysis | Parameter sensitivity | Equations | Inundation | Constraining | Robustness (mathematics) | Galerkin method | Unstructured grids (mathematics) | Drying | Mathematics - Numerical Analysis
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5. Full Text A high‐order Runge‐Kutta discontinuous Galerkin method with a subcell limiter on adaptive unstructured grids for two‐dimensional compressible inviscid flows
by Giri, Pritam and Qiu, Jianxian
International journal for numerical methods in fluids, ISSN 0271-2091, 11/2019, Volume 91, Issue 8, pp. 367 - 394
subcell limiter | Runge‐Kutta discontinuous Galerkin method | WENO method | adaptive mesh refinement | Euler equations | HWENO method | Mathematics, Interdisciplinary Applications | Physical Sciences | Computer Science, Interdisciplinary Applications | Physics, Fluids & Plasmas | Technology | Computer Science | Mechanics | Mathematics | Physics | Science & Technology | Computer simulation | Oscillations | Adaptive control | Finite element method | Robustness (mathematics) | Energy dissipation | Numerical dissipation | Inviscid flow | Strategy | Galerkin method | Gradient flow | Grid refinement (mathematics) | Unstructured grids (mathematics) | Compressible flow
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6. Full Text General mesh method: A unified numerical scheme
by Jiang, Yuewen
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 09/2020, Volume 369, p. 113049
Gridfree method | Computational Fluid Dynamics (CFD) | General volume scheme | Unified mesh/points method | Unstructured grid | General mesh method | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Computational fluid dynamics | Computer simulation | Numerical methods | Reynolds number | Low speed | Fluid flow | Topology | Meshing | Finite element method | Robustness (mathematics) | Meshless methods | Structured grids (mathematics) | Unstructured grids (mathematics) | High Reynolds number
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7. Full Text High-fidelity solver on polyhedral unstructured grids for low-Mach number compressible viscous flow
by Xie, Bin and Deng, Xi and Liao, Shijun
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 12/2019, Volume 357, p. 112584
Low-Mach number | High-order reconstruction | Finite volume method | Navier–Stokes equation | Unstructured grid | Incompressible limit | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Reconstruction | Computational fluid dynamics | Fluid flow | Smoothness | Forecasting | Constraining | Incompressible flow | Accuracy | Algorithms | Robustness (mathematics) | Energy dissipation | Numerical dissipation | Polynomials | Numerical models | Unstructured grids (mathematics) | Compressible flow | Mach number | Viscous flow | Engineering Sciences | Fluids mechanics
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8. Full Text Two-Dimensional RBF-ENO Method on Unstructured Grids
by Hesthaven, Jan S and Monkeberg, Fabian
Journal of scientific computing, ISSN 0885-7474, 03/2020, Volume 82, Issue 3, pp. 76 - 76
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Radial basis function | Reconstruction | Conservation laws | Algorithms | Partial differential equations | Robustness (mathematics) | Hyperbolic functions | Unstructured grids (mathematics) | Smoothness | Constellations | Cartesian coordinates | Unstructured grids | Radial basis functions | High-order methods | 65M08 | 65D05 | Euler equations | 65M12 | Finite volume methods | 35L65
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9. Full Text Unfitted extended finite elements for composite grids
by Formaggia, Luca and Vergara, Christian and Zonca, Stefano
Computers & mathematics with applications (1987), ISSN 0898-1221, 08/2018, Volume 76, Issue 4, pp. 893 - 904
Discontinuous Galerkin | Extended finite element method | Unfitted meshes | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Dirichlet problem | Fluids | Finite element analysis | Poisson distribution | Diffusion | Unstructured grids (mathematics)
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10. Full Text A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids
by Asmouh, Ilham and El-Amrani, Mofdi and Seaid, Mohammed and Yebari, Naji
Journal of scientific computing, ISSN 0885-7474, 10/2020, Volume 85, Issue 1
Finite volume method | Unstructured grids | Convection–diffusion equations | Modified method of characteristics | Cell-centered discretization | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Flow stability | Method of characteristics | Advection-diffusion equation | Advection | Exact solutions | Solvers | Diffusion | Unstructured grids (mathematics) | Convection
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11. Full Text Finite analytic method for 2D steady fluid flows in heterogeneous porous media with unstructured grids
by Wang, Guan‐Wen and Liu, Zhi‐Feng and Wang, Xiao‐Hong
International journal for numerical methods in engineering, ISSN 0029-5981, 01/2018, Volume 113, Issue 4, pp. 742 - 766
fluid flows in porous media | full tensor permeability | finite analytic method | unstructured grids | heterogeneity | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Rocks | Methods | Permeability | Porous media | Porous materials | Grid refinement (mathematics) | Two dimensional flow | Two dimensional analysis | Unstructured grids (mathematics)
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12. Full Text High resolution multi-moment finite volume method for supersonic combustion on unstructured grids
by Deng, Xi and Xie, Bin and Teng, Honghui and Xiao, Feng
Applied mathematical modelling, ISSN 0307-904X, 02/2019, Volume 66, pp. 404 - 423
Unstructured grid | Multi-moment finite volume method | Detonation wave | Stiff source term | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Wave propagation | Algorithms | Analysis | Combustion | Mechanical engineering | Methods | Aerospace engineering | Solar cells | High resolution | Computer simulation | Detonation waves | Finite volume method | Eulers eq