An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions
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September 1995 |
A Simplified h -box Method for Embedded Boundary Grids
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January 2012 |
A high-order discontinuous Galerkin method for compressible flows with immersed boundaries: A high-order discontinuous Galerkin method for compressible flows with immersed boundaries
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November 2016 |
An implicit mesh discontinuous Galerkin formulation for higher-order plate theories
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February 2019 |
Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods
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January 2019 |
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
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January 2002 |
An unfitted finite element method using discontinuous Galerkin
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September 2009 |
A discontinuous-Galerkin-based immersed boundary method
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October 2008 |
An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method
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August 2017 |
An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow: UDG FOR INCOMPRESSIBLE NAVIER-STOKES TWO-PHASE FLOW
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February 2012 |
Diffraction of strong shocks by cones, cylinders, and spheres
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February 1961 |
Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – Speed comparisons with Runge–Kutta methods
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February 2013 |
A phase-field model for fluid–structure interaction
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November 2018 |
A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids
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February 2011 |
On the Use of Higher-Order Projection Methods for Incompressible Turbulent Flow
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January 2013 |
High spatial and temporal resolution study of shock wave reflection over a coupled convex–concave cylindrical surface
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March 2015 |
Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
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April 2016 |
A dimensionally split Cartesian cut cell method for hyperbolic conservation laws
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July 2018 |
Similarity in Mach stem evolution and termination in unsteady shock-wave reflection
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September 2020 |
An extended Ritz formulation for buckling and post-buckling analysis of cracked multilayered plates
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October 2018 |
Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting
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September 2015 |
A high-order immersed boundary discontinuous-Galerkin method for Poisson's equation with discontinuous coefficients and singular sources: A HIGH-ORDER IMMERSED BOUNDARY DG METHOD
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December 2014 |
Shock-wave reflections over double-concave cylindrical reflectors
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January 2017 |
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
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July 2018 |
Extended discontinuous Galerkin methods for two-phase flows: the spatial discretization: Extended discontinuous Galerkin methods for two-phase flows: the spatial discretization
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June 2016 |
A high-order finite volume method for systems of conservation laws—Multi-dimensional Optimal Order Detection (MOOD)
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May 2011 |
An immersed volume method for Large Eddy Simulation of compressible flows using a staggered-grid approach
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October 2014 |
A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
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September 2012 |
A finite element method for crack growth without remeshing
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September 1999 |
An adaptive multilevel multigrid formulation for Cartesian hierarchical grid methods
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October 2008 |
Local adaptive mesh refinement for shock hydrodynamics
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May 1989 |
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws
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March 2004 |
A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier–Stokes equations
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August 2007 |
A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
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September 1997 |
A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
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May 2019 |
A cartesian grid embedded boundary method for the compressible Navier–Stokes equations
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January 2013 |
Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
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January 1994 |
A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity–based shock‐capturing on cut cells
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August 2019 |
Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid–structure interaction, and free surface flow: Part II
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September 2017 |
An immersed discontinuous Galerkin method for compressible Navier‐Stokes equations on unstructured meshes
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October 2019 |
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer–Nunziato model
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May 2020 |
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
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July 1979 |
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections
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March 2004 |
Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid–structure interaction, and free surface flow: Part I
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September 2017 |
High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
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January 2015 |
AMReX: a framework for block-structured adaptive mesh refinement
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May 2019 |
Higher-order temporal integration for the incompressible Navier–Stokes equations in bounded domains
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December 2018 |
Numerical simulation of detonation using an adaptive Cartesian cut-cell method combined with a cell-merging technique
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June 2010 |
$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
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January 2017 |
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
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January 2011 |
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
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March 2017 |
Efficient solution algorithms for the Riemann problem for real gases
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June 1985 |
A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
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January 2005 |
High-order accurate implementation of solid wall boundary conditions in curved geometries
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January 2006 |
A Cartesian grid embedded boundary method for hyperbolic conservation laws
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January 2006 |
A high-order adaptive Cartesian cut-cell method for simulation of compressible viscous flow over immersed bodies
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September 2016 |
Limiters for high-order discontinuous Galerkin methods
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September 2007 |
Euler calculations for multielement airfoils using Cartesian grids
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March 1986 |
The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
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April 1998 |
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
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December 2014 |
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
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June 2020 |
A discontinuous Galerkin method for solutions of the Euler equations on Cartesian grids with embedded geometries
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January 2013 |
Fast multigrid solution of high-order accurate multiphase Stokes problems
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January 2020 |
An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
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October 2016 |
A state redistribution algorithm for finite volume schemes on cut cell meshes
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March 2021 |
A high-resolution layer-wise discontinuous Galerkin formulation for multilayered composite plates
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June 2020 |