A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement

DOI10.1016/j.compfluid.2015.10.001zbMath1390.65091OpenAlexW1837242739MaRDI QIDQ1646063

Phillip Colella, Stephen M. Guzik, Xinfeng Gao, Peter McCorquodale, Landon D. Owen

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.10.001

zbMATH Keywords

hyperbolic conservation lawsmapped gridsfinite-volume methodadaptive-mesh refinementhigh-order finite-volume methodfreestream-preserving

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Conservation with moving meshes over orography ⋮ Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows ⋮ A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries ⋮ On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations ⋮ Techniques for improving monotonicity in a fourth-order finite-volume algorithm solving shocks and detonations ⋮ A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics ⋮ A fourth-order accurate finite volume method for ideal MHD via upwind constrained transport ⋮ A high-performance finite-volume algorithm for solving partial differential equations governing compressible viscous flows on structured grids ⋮ A reconstruction-based cell-centered high-order finite volume method for incompressible viscous flow simulation on unstructured meshes ⋮ A high-order adaptive algorithm for multispecies gaseous flows on mapped domains ⋮ High-order finite-volume methods on locally-structured grids

Uses Software

• Chombo

Cites Work

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• ADER-WENO finite volume schemes with space-time adaptive mesh refinement
• High-order adaptive quadrature-free spectral volume method on unstructured grids
• High-order, finite-volume methods in mapped coordinates
• A high-order finite-volume method for conservation laws on locally refined grids
• Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
• High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A limiter for PPM that preserves accuracy at smooth extrema
• A parallel solution-adaptive method for three-dimensional turbulent non-premixed combusting flows
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Local adaptive mesh refinement for shock hydrodynamics
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
• Weighted essentially non-oscillatory schemes
• A fourth-order accurate local refinement method for Poisson's equation
• A Cartesian grid embedded boundary method for hyperbolic conservation laws
• Adaptive mesh refinement techniques for high-order shock capturing schemes for multi-dimensional hydrodynamic simulations
• On Conservation at Grid Interfaces
• Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries
• An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
• Numerical simulation of laminar reacting flows with complex chemistry
• A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
• An accuracy study of mesh refinement on mapped grids

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