暂无分享,去创建一个
Lisandro Dalcin | Matteo Parsani | Hendrik Ranocha | David I. Ketcheson | Lisandro Dalcin | M. Parsani | D. Ketcheson | Hendrik Ranocha
[1] D. Ketcheson,et al. General relaxation methods for initial-value problems with application to multistep schemes , 2020, Numerische Mathematik.
[2] David A. Kopriva,et al. An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods , 2013 .
[3] R. Löhner,et al. Explicit two‐step Runge‐Kutta methods for computational fluid dynamics solvers , 2020, International Journal for Numerical Methods in Fluids.
[4] David I. Ketcheson,et al. Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms , 2019, SIAM J. Numer. Anal..
[5] Matteo Parsani,et al. NodePy: A package for the analysis of numerical ODE solvers , 2020, J. Open Source Softw..
[6] Jonathan Mark Pegrum,et al. Experimental study of the vortex system generated by a Formula 1 front wing , 2006 .
[7] Gustaf Söderlind,et al. Adaptive Time-Stepping and Computational Stability , 2006 .
[8] Matthew G. Knepley,et al. Mesh algorithms for PDE with Sieve I: Mesh distribution , 2009, Sci. Program..
[9] Prahladh S. Iyer,et al. Wall-modeled LES of the NASA Juncture Flow Experiment , 2020 .
[10] John N. Shadid,et al. Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods , 2018, J. Comput. Appl. Math..
[11] Lisandro Dalcin,et al. Optimized Explicit Runge-Kutta Schemes for Entropy Stable Discontinuous Collocated Methods Applied to the Euler and Navier–Stokes equations , 2020, AIAA Scitech 2021 Forum.
[12] Desmond J. Higham,et al. Embedded Runge-Kutta formulae with stable equilibrium states , 1990 .
[13] David A. Kopriva,et al. Implementing Spectral Methods for Partial Differential Equations , 2009 .
[14] Emil M. Constantinescu,et al. PETSc/TS: A Modern Scalable ODE/DAE Solver Library , 2018, 1806.01437.
[15] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[16] Charalampos Tsitouras,et al. Runge-Kutta pairs of order 5(4) satisfying only the first column simplifying assumption , 2011, Comput. Math. Appl..
[17] David A. Kopriva,et al. Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers , 2009 .
[18] Patrick Kofod Mogensen,et al. Optim: A mathematical optimization package for Julia , 2018, J. Open Source Softw..
[19] Stefano Zampini,et al. Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations , 2019, SN Partial Differential Equations and Applications.
[20] C. Rumsey,et al. Goals and Status of the NASA Juncture Flow Experiment , 2016 .
[21] Matteo Parsani,et al. Towards an Entropy Stable Spectral Element Framework for Computational Fluid Dynamics , 2016 .
[22] Randall J. LeVeque,et al. A wave propagation method for three-dimensional hyperbolic conservation laws , 2000 .
[23] Carmen Arévalo,et al. Local error estimation and step size control in adaptive linear multistep methods , 2020, Numerical Algorithms.
[24] Antony Jameson,et al. A New Class of High-Order Energy Stable Flux Reconstruction Schemes , 2011, J. Sci. Comput..
[25] Travis C. Fisher,et al. High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains , 2013, J. Comput. Phys..
[26] David E. Keyes,et al. Performance study of sustained petascale direct numerical simulation on Cray XC40 systems , 2020, Concurr. Comput. Pract. Exp..
[27] Björn Sjögreen,et al. High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows , 2018, J. Comput. Phys..
[28] Lawrence F. Shampine,et al. An efficient Runge-Kutta (4,5) pair , 1996 .
[29] Gustaf Söderlind,et al. Time-step selection algorithms: Adaptivity, control, and signal processing , 2006 .
[30] David E. Keyes,et al. On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations , 2019, ArXiv.
[31] Steven H. Frankel,et al. Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces , 2014, SIAM J. Sci. Comput..
[32] Lisandro Dalcin,et al. Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations , 2019, SIAM J. Sci. Comput..
[33] R. Lewis,et al. Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations , 2000 .
[34] Florian R. Menter,et al. Drag Prediction of Engine-Airframe Interference Effects with CFX-5 , 2004 .
[35] Jesse Chan,et al. Efficient Entropy Stable Gauss Collocation Methods , 2018, SIAM J. Sci. Comput..
[36] Alan Edelman,et al. Julia: A Fresh Approach to Numerical Computing , 2014, SIAM Rev..
[37] J. Dormand,et al. High order embedded Runge-Kutta formulae , 1981 .
[38] Clint Dawson,et al. Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids , 2008, J. Comput. Phys..
[39] Matteo Parsani,et al. Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method , 2012 .
[40] Randall J. LeVeque,et al. Finite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems , 2007 .
[41] Björn Sjögreen,et al. Skew-Symmetric Splitting and Stability of High Order Central Schemes , 2017 .
[42] Martin Berzins,et al. Adaptive Finite Volume Methods for Time-Dependent P.D.E.S. , 1995 .
[43] Martin Berzins,et al. Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions , 1995, SIAM J. Sci. Comput..
[44] V. Eijkhout,et al. PETSc Users Manual (Rev. 3.13) , 2020 .
[45] F. Krogh,et al. Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.
[46] Kjell Gustafsson,et al. Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods , 1991, TOMS.
[47] Qing Nie,et al. DifferentialEquations.jl – A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia , 2017, Journal of Open Research Software.
[48] Christopher L. Rumsey,et al. The NASA Juncture Flow Test as a Model for Effective CFD/Experimental Collaboration , 2018, 2018 Applied Aerodynamics Conference.
[49] Matteo Parsani,et al. Entropy stable discontinuous interfaces coupling for the three-dimensional compressible Navier-Stokes equations , 2015, J. Comput. Phys..
[50] L. Shampine,et al. A 3(2) pair of Runge - Kutta formulas , 1989 .
[51] G. Karniadakis,et al. Spectral/hp Element Methods for Computational Fluid Dynamics , 2005 .
[52] J. Dormand,et al. A family of embedded Runge-Kutta formulae , 1980 .
[53] Matteo Parsani,et al. Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems , 2012, SIAM J. Sci. Comput..
[54] David I. Ketcheson,et al. Runge-Kutta methods with minimum storage implementations , 2010, J. Comput. Phys..
[55] J. Kraaijevanger. Contractivity of Runge-Kutta methods , 1991 .
[56] V. Citro,et al. Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations , 2020, Applied Numerical Mathematics.
[57] Matteo Parsani,et al. Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations , 2014, J. Comput. Phys..
[58] David I. Ketcheson,et al. Optimal stability polynomials for numerical integration of initial value problems , 2012, 1201.3035.
[59] J. Butcher. Numerical methods for ordinary differential equations , 2003 .
[60] Gregor Gassner,et al. Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations , 2016, J. Comput. Phys..
[61] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[62] ShuChi-Wang,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II , 1989 .
[63] David E. Keyes,et al. On the robustness and performance of entropy stable collocated discontinuous Galerkin methods , 2020, J. Comput. Phys..
[64] David E. Keyes,et al. Efficiency of High Order Spectral Element Methods on Petascale Architectures , 2016, ISC.
[65] David I. Ketcheson,et al. Time Discretization Techniques , 2016 .
[66] Martin Almquist,et al. Elastic wave propagation in anisotropic solids using energy-stable finite differences with weakly enforced boundary and interface conditions , 2021, J. Comput. Phys..
[67] David Moxey,et al. Spectral/hp element simulation of flow past a Formula One front wing: validation against experiments , 2019, Journal of Wind Engineering and Industrial Aerodynamics.
[68] Desmond J. Higham,et al. Analysis of stepsize selection schemes for Runge-Kutta codes , 1988 .
[69] Jan Nordström,et al. Energy stable and high-order-accurate finite difference methods on staggered grids , 2017, J. Comput. Phys..
[70] Bilel Hadri,et al. High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and flow solver , 2021, J. Comput. Phys..
[71] Matteo Parsani,et al. RK-Opt: A package for the design of numerical ODE solvers , 2020, J. Open Source Softw..
[72] Gustaf Söderlind,et al. Digital filters in adaptive time-stepping , 2003, TOMS.
[73] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .