2 citations · 3 across the 9 of their papers we have counts for
9 papers
Long-time &-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations
Isabel Barrio Sanchez, Wenlong Pei, Catalin Trenchea
In this report, we study the long-time stability of the family of one-leg DLN methods for the two-dimensional incompressible Navier-Stokes equations. The family of DLN methods (wit…
Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations
Isabel Barrio Sanchez, Catalin Trenchea, Wenlong Pei
In this paper we study the long-time stability of the Cauchy one-leg theta-methods for the two-dimensional NavierStokes equations. We establish the uniform dissipativity in H^1, in…
Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
Qiwei Feng, Catalin Trenchea
In this paper, we discuss the steady and time-dependent nonlinear convection-diffusion (advection-diffusion) equations with the Dirichlet boundary condition. For the steady nonline…
Partitioned Conservative, Variable Step, Second-Order Method for Magneto-hydrodynamics In Elsässer Variables
Zhen Yao, Catalin Trenchea, Wenlong Pei
Magnetohydrodynamics (MHD) describes the interaction between electrically conducting fluids and electromagnetic fields. We propose and analyze a symplectic, second-order algorithm…
A High-Accuracy Symplectic Scheme for a nonlinear transport problem
Farjana Siddiqua, Catalin Trenchea
We analyze an advection-diffusion-reaction problem with non-homogeneous boundary conditions that models the chromatography process.We prove stability and error estimates for both c…
Discrete energy balance equation via a symplectic second-order method for two-phase flow in porous media
Giselle Sosa Jones, Catalin Trenchea
We propose and analyze a second-order partitioned time-stepping method for a two-phase flow problem in porous media. The algorithm is based on a refactorization of Cauchy's one-leg…
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
William Layton, Wenlong Pei, Catalin Trenchea
The one-leg, two-step time-stepping scheme proposed by Dahlquist, Liniger and Nevanlinna has clear advantages in complex, stiff numerical simulations: unconditional -stability f…
Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems
Martina Bukac, Anyastassia Seboldt, Catalin Trenchea
This work focuses on the derivation and the analysis of a novel, strongly-coupled partitioned method for fluid-structure interaction problems. The flow is assumed to be viscous and…
Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
William Layton, Wenlong Pei, Yi Qin +1
The two-step time discretization proposed by Dahlquist, Liniger and Nevanlinna is variable step -stable. (In contrast, for increasing time steps, the BDF2 method loses -stabi…