15 citations · 17 across the 5 of their papers we have counts for
7 papers · 1 filter
Implicit BDF2 dual time-stepping positivity-preserving entropy-stable schemes for unsteady compressible viscous flows
Mohammed Sayyari, Nail K. Yamaleev
This paper presents a rigorous extension of the explicit, high-order, positivity-preserving, and entropy-stable spectral collocation schemes developed in Upperman 2023 and Yamaleev…
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations
Subhash Paudel, Nail K. Yamaleev
As has been shown in our previous work, the parallel-in-time direct inverse (ParaDIn) method introduced by Yamaleev and Paudel in (arXiv: 2406.00878v1, 2024) imposes some constrain…
Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations
Mohammed Sayyari, Nail K. Yamaleev
We generalize the explicit high-order positivity-preserving entropy stable spectral collocation schemes developed in Upperman 2023 and Yamaleev 2023 for the three-dimensional (3D)…
A New Parallel-in-time Direct Inverse Method for Nonlinear Differential Equations
Nail K. Yamaleev, Subhash Paudel
We present a new approach to parallelization of the first-order backward difference discretization (BDF1) of the time derivative in partial differential equations, such as the nonl…
High-order Positivity-preserving L2-stable Spectral Collocation Schemes for the 3-D compressible Navier-Stokes equations
Nail K. Yamaleev, Johnathon Upperman
This paper extends a new class of positivity-preserving, entropy stable spectral collocation schemes developed for the one-dimensional compressible Navier-Stokes equations in [1,2]…
First-order positivity-preserving entropy stable spectral collocation scheme for the 3-D compressible Navier-Stokes equations
Johnathon Upperman, Nail K. Yamaleev
In this paper, we extend the positivity-preserving, entropy stable first-order finite volume-type scheme developed for the one-dimensional compressible Navier-Stokes equations in […
Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids
Nail K. Yamaleev, David C. Del Rey Fernandez, Jialin Lou +1
New entropy stable spectral collocations schemes of arbitrary order of accuracy are developed for the unsteady 3-D Euler and Navier-Stokes equations on dynamic unstructured grids.…