Relaxation Runge--Kutta methods: Fully discrete explicit entropy-stable schemes for the compressible Euler and Navier--Stokes equations H Ranocha, M Sayyari, L Dalcin, M Parsani, DI Ketcheson SIAM Journal on Scientific Computing 42 (2), A612-A638, 2020 | 113 | 2020 |
Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations M Parsani, MH Carpenter, EJ Nielsen Journal of Computational Physics 292, 88-113, 2015 | 106 | 2015 |
PyClaw: Accessible, extensible, scalable tools for wave propagation problems DI Ketcheson, K Mandli, AJ Ahmadia, A Alghamdi, MQ De Luna, ... SIAM Journal on Scientific Computing 34 (4), C210-C231, 2012 | 96 | 2012 |
High-order wave propagation algorithms for hyperbolic systems DI Ketcheson, M Parsani, RJ LeVeque SIAM Journal on Scientific Computing 35 (1), A351-A377, 2013 | 85 | 2013 |
Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier-Stokes Equations M Parsani, MH Carpenter, TC Fisher, EJ Nielsen SIAM Journal on Scientific Computing 38 (5), A3129-A3162, 2016 | 70 | 2016 |
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property L Friedrich, AR Winters, DC Del Rey Fernández, GJ Gassner, M Parsani, ... Journal of Scientific Computing 77, 689-725, 2018 | 62 | 2018 |
Entropy stable discontinuous interfaces coupling for the three-dimensional compressible Navier–Stokes equations M Parsani, MH Carpenter, EJ Nielsen Journal of Computational Physics 290, 132-138, 2015 | 62 | 2015 |
An implicit high-order spectral difference approach for large eddy simulation M Parsani, G Ghorbaniasl, C Lacor, E Turkel Journal of Computational Physics 229 (14), 5373-5393, 2010 | 59 | 2010 |
Entropy stable summation-by-parts formulations for compressible computational fluid dynamics MH Carpenter, TC Fisher, EJ Nielsen, M Parsani, M Svärd, N Yamaleev Handbook of Numerical Analysis 17, 495-524, 2016 | 45 | 2016 |
Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer L Dalcin, DB Rojas, S Zampini, DCDR Fernández, MH Carpenter, ... Journal of Computational Physics, 2019 | 42 | 2019 |
Towards an entropy stable spectral element framework for computational fluid dynamics MH Carpenter, M Parsani, EJ Nielsen, TC Fisher 54th AIAA Aerospace Sciences Meeting, 1058, 2016 | 42 | 2016 |
Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids H Shen, CY Wen, M Parsani, CW Shu Journal of Computational Physics 330, 668-692, 2017 | 40 | 2017 |
The role of multidimensional instabilities in direct initiation of gaseous detonations in free space H Shen, M Parsani Journal of Fluid Mechanics 813, R4, 2017 | 39 | 2017 |
Optimized explicit Runge--Kutta schemes for the spectral difference method applied to wave propagation problems M Parsani, DI Ketcheson, W Deconinck SIAM Journal on Scientific Computing 35 (2), A957-A986, 2013 | 39 | 2013 |
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and … M Parsani, R Boukharfane, IR Nolasco, DCDR Fernández, S Zampini, ... Journal of Computational Physics 424, 109844, 2021 | 35 | 2021 |
Implicit LU-SGS algorithm for high-order methods on unstructured grid with p-multigrid strategy for solving the steady Navier-Stokes equations M Parsani, K Van den Abeele, C Lacor, E Turkel Journal of Computational Physics 229 (3), 828-850, 2010 | 33 | 2010 |
Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations H Ranocha, L Dalcin, M Parsani Computers & Mathematics with Applications 80 (5), 1343-1359, 2020 | 32 | 2020 |
Entropy stable staggered grid spectral collocation for the Burgers' and compressible Navier-Stokes equations MH Carpenter, M Parsani, TC Fisher, EJ Nielsen | 32 | 2015 |
Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics H Ranocha, L Dalcin, M Parsani, DI Ketcheson Communications on Applied Mathematics and Computation 4 (4), 1191-1228, 2022 | 31 | 2022 |
Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations MP D. C. Del Rey Fernández, M. H. Carpenter, L. Dalcin, S. Zampini SN Partial Differential Equations and Applications 1, 2020 | 31 | 2020 |