TY - JOUR AU - Hirt, C. AU - Amsden, A. A. AU - Cook, J. PY - 1974 DA - 1974// TI - An arbitrary Lagrangian-Eulerian computing method for all flow speeds JO - J Comput Phys VL - 14 UR - https://doi.org/10.1016/0021-9991(74)90051-5 DO - 10.1016/0021-9991(74)90051-5 ID - Hirt1974 ER - TY - JOUR AU - Waltz, J. AU - Morgan, N. R. AU - Canfield, T. R. AU - Charest, M. R. AU - Risinger, L. AU - Wohlbier, J. G. PY - 2014 DA - 2014// TI - A three-dimensional finite element arbitrary Lagrangian–Eulerian method for shock hydrodynamics on unstructured grids JO - Comput Fluids VL - 92 UR - https://doi.org/10.1016/j.compfluid.2013.12.021 DO - 10.1016/j.compfluid.2013.12.021 ID - Waltz2014 ER - TY - JOUR AU - Waltz, J. PY - 2013 DA - 2013// TI - Operator splitting and time accuracy in Lagrange plus remap solution methods JO - J Comput Phys VL - 253 UR - https://doi.org/10.1016/j.jcp.2013.07.016 DO - 10.1016/j.jcp.2013.07.016 ID - Waltz2013 ER - TY - JOUR AU - Morgan, N. R. AU - Waltz, J. I. AU - Burton, D. E. AU - Charest, M. R. AU - Canfield, T. R. AU - Wohlbier, J. G. PY - 2015 DA - 2015// TI - A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes JO - J Comput Phys VL - 290 UR - https://doi.org/10.1016/j.jcp.2015.02.024 DO - 10.1016/j.jcp.2015.02.024 ID - Morgan2015 ER - TY - JOUR AU - Luo, H. AU - Baum, J. D. AU - Löhner, R. PY - 2004 DA - 2004// TI - On the computation of multi-material flows using formulation JO - J Comput Phys VL - 194 UR - https://doi.org/10.1016/j.jcp.2003.09.026 DO - 10.1016/j.jcp.2003.09.026 ID - Luo2004 ER - TY - JOUR AU - Chiravalle, V. AU - Morgan, N. PY - 2017 DA - 2017// TI - A 3D finite element ALE method using an approximate Riemann solution JO - Int J Numer Methods Fluids VL - 83 UR - https://doi.org/10.1002/fld.4284 DO - 10.1002/fld.4284 ID - Chiravalle2017 ER - TY - STD TI - Hartmann R, Leicht T (2015) High-order unstructured grid generation and discontinuous Galerkin discretization applied to a 3D high-lift configuration In: 53rd AIAA Aerospace Sciences Meeting (SciTech 2015), AIAA 2015-0819, Kissimmee, Florida. ID - ref7 ER - TY - STD TI - Persson P-O, Peraire J (2009) Curved mesh generation and mesh refinement using lagrangian solid mechanics In: 47th AIAA Aerospace Sciences Meeting. ID - ref8 ER - TY - JOUR AU - de Boer, A. AU - van der Schoot, M. AU - Bijl, M. PY - 2007 DA - 2007// TI - Mesh deformation based on radial basis function interpolation JO - Comput Struct VL - 85 UR - https://doi.org/10.1016/j.compstruc.2007.01.013 DO - 10.1016/j.compstruc.2007.01.013 ID - de Boer2007 ER - TY - STD TI - Kashi A, Luo H (2016) Curved mesh generation using radial basis functions In: 46th AIAA Fluid Dynamics Conference, 3179. ID - ref10 ER - TY - STD TI - Kashi A (2016) Techniques for mesh movement and curved mesh generation for computational fluid dynamics.. Dissertation, North Carolina State University. ID - ref11 ER - TY - STD TI - Liu X, Qin N, Xia H (2006) Fast dynamic grid deformation based on Delaunay graph mapping. J Comput Phys 211:405–423. ID - ref12 ER - TY - STD TI - Reed WH, Hill T (1973) Triangular mesh methods for the neutron transport equation, Tech. Rep. Los Alamos Report LA-UR-73-479. ID - ref13 ER - TY - JOUR AU - Dumbser, M. AU - Balsara, D. S. AU - Toro, E. F. AU - Munz, C. -. D. PY - 2008 DA - 2008// TI - A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes JO - J Comput Phys VL - 227 UR - https://doi.org/10.1016/j.jcp.2008.05.025 DO - 10.1016/j.jcp.2008.05.025 ID - Dumbser2008 ER - TY - JOUR AU - Dumbser, M. AU - Zanotti, O. PY - 2009 DA - 2009// TI - Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations JO - J Comput Phys VL - 228 UR - https://doi.org/10.1016/j.jcp.2009.06.009 DO - 10.1016/j.jcp.2009.06.009 ID - Dumbser2009 ER - TY - JOUR AU - Dumbser, M. PY - 2010 DA - 2010// TI - Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations JO - Comput Fluids VL - 39 UR - https://doi.org/10.1016/j.compfluid.2009.07.003 DO - 10.1016/j.compfluid.2009.07.003 ID - Dumbser2010 ER - TY - STD TI - van Leer B, Lo M, van Raalte M (2007) A discontinuous Galerkin method for diffusion based on recovery In: 18th AIAA Computational Fluid Dynamics Conference, Miami, Florida, USA, no. AIAA Paper No. 2007-4083. ID - ref17 ER - TY - JOUR AU - Luo, H. AU - Luo, L. AU - Nourgaliev, R. AU - Mousseau, V. A. AU - Dinh, N. PY - 2010 DA - 2010// TI - A reconstructed discontinuous Galerkin method for the compressible Navier–Stokes equations on arbitrary grids JO - J Comput Phys VL - 229 UR - https://doi.org/10.1016/j.jcp.2010.05.033 DO - 10.1016/j.jcp.2010.05.033 ID - Luo2010 ER - TY - STD TI - Luo H, Xia Y, Nourgaliev R (2011) A class of reconstructed discontinuous Galerkin methods in computational fluid dynamics In: International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C2011), Brazil. ID - ref19 ER - TY - JOUR AU - Zhang, L. AU - Wei, L. AU - Lixin, H. AU - Xiaogang, D. AU - Hanxin, Z. PY - 2012 DA - 2012// TI - A class of hybrid DG/FV methods for conservation laws I: Basic formulation and one-dimensional systems JO - J Comput Phys VL - 231 UR - https://doi.org/10.1016/j.jcp.2011.06.010 DO - 10.1016/j.jcp.2011.06.010 ID - Zhang2012 ER - TY - JOUR AU - Zhang, L. AU - Wei, L. AU - Lixin, H. AU - Xiaogang, D. AU - Hanxin, Z. PY - 2012 DA - 2012// TI - A class of hybrid DG/FV methods for conservation laws II: Two-dimensional cases JO - J Comput Phys VL - 231 UR - https://doi.org/10.1016/j.jcp.2011.03.032 DO - 10.1016/j.jcp.2011.03.032 ID - Zhang2012 ER - TY - JOUR AU - Cheng, J. AU - Liu, T. AU - Luo, H. PY - 2016 DA - 2016// TI - A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids JO - Comput Fluids VL - 139 UR - https://doi.org/10.1016/j.compfluid.2016.04.001 DO - 10.1016/j.compfluid.2016.04.001 ID - Cheng2016 ER - TY - STD TI - Luo H, Xiao H, Nourgaliev R, Cai R (2011) A comparative study of different reconstruction schemes for a reconstructed discontinuous Galerkin method on arbitrary grids In: 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, USA, no. AIAA Paper No. 2011-3839. ID - ref23 ER - TY - JOUR AU - Xia, Y. AU - Luo, H. AU - Nourgaliev, R. PY - 2014 DA - 2014// TI - An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids JO - Comput Fluids VL - 96 UR - https://doi.org/10.1016/j.compfluid.2014.02.027 DO - 10.1016/j.compfluid.2014.02.027 ID - Xia2014 ER - TY - JOUR AU - Xia, Y. AU - Luo, H. AU - Frisbey, M. AU - Nourgaliev, R. PY - 2014 DA - 2014// TI - A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids JO - Comput Fluids VL - 98 UR - https://doi.org/10.1016/j.compfluid.2014.01.023 DO - 10.1016/j.compfluid.2014.01.023 ID - Xia2014 ER - TY - JOUR AU - Liu, X. AU - Xuan, L. AU - Xia, Y. AU - Luo, H. PY - 2017 DA - 2017// TI - A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids JO - Comput Fluids VL - 152 UR - https://doi.org/10.1016/j.compfluid.2017.04.027 DO - 10.1016/j.compfluid.2017.04.027 ID - Liu2017 ER - TY - JOUR AU - Wang, C. AU - Cheng, J. AU - Berndt, M. AU - Carlson, N. AU - Luo, H. PY - 2018 DA - 2018// TI - Application of nonlinear Krylov acceleration to a reconstructed discontinuous Galerkin method for compressible flows JO - Comput Fluids VL - 163 UR - https://doi.org/10.1016/j.compfluid.2017.12.015 DO - 10.1016/j.compfluid.2017.12.015 ID - Wang2018 ER - TY - JOUR AU - van der Vegt, J. J. AU - Xu, Y. PY - 2007 DA - 2007// TI - Space–time discontinuous Galerkin method for nonlinear water waves JO - J Comput Phys VL - 224 UR - https://doi.org/10.1016/j.jcp.2006.11.031 DO - 10.1016/j.jcp.2006.11.031 ID - van der Vegt2007 ER - TY - JOUR AU - Rhebergen, S. AU - Cockburn, B. PY - 2012 DA - 2012// TI - A space–time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains JO - J Comput Phys VL - 231 UR - https://doi.org/10.1016/j.jcp.2012.02.011 DO - 10.1016/j.jcp.2012.02.011 ID - Rhebergen2012 ER - TY - JOUR AU - van der Vegt, J. J. AU - Van der Ven, H. PY - 2002 DA - 2002// TI - Space?time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. General formulation JO - J Comput Phys VL - 182 UR - https://doi.org/10.1006/jcph.2002.7185 DO - 10.1006/jcph.2002.7185 ID - van der Vegt2002 ER - TY - JOUR AU - Van der Ven, H. AU - van der Vegt, J. J. PY - 2002 DA - 2002// TI - Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: II. Efficient flux quadrature JO - Comput Methods Appl Mech Eng VL - 191 UR - https://doi.org/10.1016/S0045-7825(02)00403-6 DO - 10.1016/S0045-7825(02)00403-6 ID - Van der Ven2002 ER - TY - JOUR AU - Klaij, C. M. AU - van der Vegt, J. J. AU - van der Ven, H. PY - 2006 DA - 2006// TI - Space–time discontinuous Galerkin method for the compressible Navier–Stokes equations JO - J Comput Phys VL - 217 UR - https://doi.org/10.1016/j.jcp.2006.01.018 DO - 10.1016/j.jcp.2006.01.018 ID - Klaij2006 ER - TY - JOUR AU - Wang, L. AU - Persson, P. -. O. PY - 2015 DA - 2015// TI - A high-order discontinuous Galerkin method with unstructured space–time meshes for two-dimensional compressible flows on domains with large deformations JO - Comput Fluids VL - 118 UR - https://doi.org/10.1016/j.compfluid.2015.05.026 DO - 10.1016/j.compfluid.2015.05.026 ID - Wang2015 ER - TY - JOUR AU - Persson, P. -. O. AU - Bonet, J. AU - Peraire, J. PY - 2009 DA - 2009// TI - Discontinuous Galerkin solution of the Navier–Stokes equations on deformable domains JO - Comput Methods Appl Mech Eng VL - 198 UR - https://doi.org/10.1016/j.cma.2009.01.012 DO - 10.1016/j.cma.2009.01.012 ID - Persson2009 ER - TY - JOUR AU - Lomtev, I. AU - Kirby, R. AU - Karniadakis, G. PY - 1999 DA - 1999// TI - A discontinuous Galerkin ale method for compressible viscous flows in moving domains JO - J Comput Phys VL - 155 UR - https://doi.org/10.1006/jcph.1999.6331 DO - 10.1006/jcph.1999.6331 ID - Lomtev1999 ER - TY - JOUR AU - Nguyen, V. -. T. PY - 2010 DA - 2010// TI - An arbitrary Lagrangian–Eulerian discontinuous Galerkin method for simulations of flows over variable geometries JO - J Fluids Struct VL - 26 UR - https://doi.org/10.1016/j.jfluidstructs.2009.11.002 DO - 10.1016/j.jfluidstructs.2009.11.002 ID - Nguyen2010 ER - TY - JOUR AU - Mavriplis, D. J. AU - Nastase, C. R. PY - 2011 DA - 2011// TI - On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes JO - J Comput Phys VL - 230 UR - https://doi.org/10.1016/j.jcp.2011.01.022 DO - 10.1016/j.jcp.2011.01.022 ID - Mavriplis2011 ER - TY - JOUR AU - Ren, X. AU - Xu, K. AU - Shyy, W. PY - 2016 DA - 2016// TI - A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies JO - J Comput Phys VL - 316 UR - https://doi.org/10.1016/j.jcp.2016.04.028 DO - 10.1016/j.jcp.2016.04.028 ID - Ren2016 ER - TY - JOUR AU - Wang, C. AU - Luo, H. AU - Shashkov, M. PY - 2020 DA - 2020// TI - A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation JO - Comput Fluids VL - 202 ID - Wang2020 ER - TY - JOUR AU - Wang, L. AU - Mavriplis, D. J. PY - 2007 DA - 2007// TI - Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations JO - J Comput Phys VL - 225 UR - https://doi.org/10.1016/j.jcp.2007.03.002 DO - 10.1016/j.jcp.2007.03.002 ID - Wang2007 ER - TY - JOUR AU - Xia, Y. AU - Liu, X. AU - Luo, H. AU - Nourgaliev, H. PY - 2015 DA - 2015// TI - A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier–Stokes equations JO - Int J Numer Methods Fluids VL - 79 UR - https://doi.org/10.1002/fld.4057 DO - 10.1002/fld.4057 ID - Xia2015 ER - TY - JOUR AU - Batina, J. PY - 1991 DA - 1991// TI - Unsteady Euler algorithm with unstructured dynamic mesh for complex-aircraft aerodynamic analysis JO - AIAA J VL - 29 UR - https://doi.org/10.2514/3.10583 DO - 10.2514/3.10583 ID - Batina1991 ER - TY - JOUR AU - Farhat, C. AU - Degand, C. AU - Koobus, B. AU - Lesoinne, M. PY - 1998 DA - 1998// TI - Torsional springs for two-dimensional dynamic unstructured fluid meshes JO - Comput Methods Appl Mech Eng VL - 163 UR - https://doi.org/10.1016/S0045-7825(98)00016-4 DO - 10.1016/S0045-7825(98)00016-4 ID - Farhat1998 ER - TY - JOUR AU - Luke, E. AU - Collins, E. AU - Blades, E. PY - 2012 DA - 2012// TI - A fast mesh deformation method using explicit interpolation JO - J Comput Phys VL - 231 UR - https://doi.org/10.1016/j.jcp.2011.09.021 DO - 10.1016/j.jcp.2011.09.021 ID - Luke2012 ER - TY - JOUR AU - Wendland, H. PY - 1998 DA - 1998// TI - Error estimates for interpolation by compactly supported radial basis functions of minimal degree JO - J Approximation Theory VL - 93 UR - https://doi.org/10.1006/jath.1997.3137 DO - 10.1006/jath.1997.3137 ID - Wendland1998 ER - TY - STD TI - Landon R (1982) NACA 0012 oscillatory and transient pitching In: AGARD Report 702, AGARD. ID - ref46 ER - TY - JOUR AU - Visbal, M. R. AU - Shang, J. PY - 1989 DA - 1989// TI - Investigation of the flow structure around a rapidly pitching airfoil JO - AIAA J VL - 27 UR - https://doi.org/10.2514/3.10219 DO - 10.2514/3.10219 ID - Visbal1989 ER - TY - STD TI - McGowan G, Gopalarathnam A, Ol M, Edwards J, Fredberg D (2008) Computation vs. experiment for high-frequency low-Reynolds number airfoil pitch and plunge In: 46th AIAA Aerospace Sciences Meeting and Exhibit, 653. ID - ref48 ER - TY - JOUR AU - McGowan, G. Z. AU - Granlund, K. AU - Ol, M. V. AU - Gopalarathnam, A. AU - Edwards, J. R. PY - 2011 DA - 2011// TI - Investigations of lift-based pitch-plunge equivalence for airfoils at low Reynolds numbers JO - AIAA J VL - 49 UR - https://doi.org/10.2514/1.J050924 DO - 10.2514/1.J050924 ID - McGowan2011 ER - TY - JOUR AU - Visbal, M. R. AU - Gordnier, R. E. AU - Galbraith, M. C. PY - 2009 DA - 2009// TI - High-fidelity simulations of moving and flexible airfoils at low Reynolds numbers JO - Exp Fluids VL - 46 UR - https://doi.org/10.1007/s00348-009-0635-4 DO - 10.1007/s00348-009-0635-4 ID - Visbal2009 ER -