A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics
A new class of time discretization schemes for the Navier-Stokes equations with non-
periodic boundary conditions is constructed by combining the SAV approach for general …
periodic boundary conditions is constructed by combining the SAV approach for general …
A novel energy-optimized technique of SAV-based (EOP-SAV) approaches for dissipative systems
In recent years, the scalar auxiliary variable based (SAV-based) approach has become very
popular and hot in the design of linear, high-order and unconditional energy stable schemes …
popular and hot in the design of linear, high-order and unconditional energy stable schemes …
Efficient energy stable schemes for incompressible flows with variable density
We present novel numerical schemes for the incompressible Navier-Stokes equations with
variable density and address two critical concerns, ie, the preservation of lower density …
variable density and address two critical concerns, ie, the preservation of lower density …
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system
X Huang, J Shen - Journal of Computational Physics, 2023 - Elsevier
Abstract The Patlak-Keller-Segel-Navier-Stokes system describes the biological chemotaxis
phenomenon in the fluid environment. It is a coupled nonlinear system with unknowns being …
phenomenon in the fluid environment. It is a coupled nonlinear system with unknowns being …
Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids
J Yang, J Chen, Z Tan - Engineering with Computers, 2022 - Springer
Herein, we construct efficient linear, totally decoupled, and energy dissipative schemes for
two-phase incompressible conservative Allen–Cahn (CAC) fluid model. The binary CAC …
two-phase incompressible conservative Allen–Cahn (CAC) fluid model. The binary CAC …
Scalar Auxiliary Variable (SAV) Stabilization of Implicit‐Explicit (IMEX) Time Integration Schemes for Non‐Linear Structural Dynamics
SB Kwon, A Prakash - International Journal for Numerical …, 2025 - Wiley Online Library
Implicit‐explicit (IMEX) time integration schemes are well suited for non‐linear structural
dynamics because of their low computational cost and high accuracy. However, the stability …
dynamics because of their low computational cost and high accuracy. However, the stability …
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations
We generalize the implicit-explicit (IMEX) second-order backward difference (BDF2) scalar
auxiliary variable (SAV) scheme for Navier–Stokes equation with periodic boundary …
auxiliary variable (SAV) scheme for Navier–Stokes equation with periodic boundary …
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations
X Li, J Shen - Applied Numerical Mathematics, 2023 - Elsevier
We carry out a rigorous error analysis of the first-order semi-discrete (in time) consistent
splitting scheme coupled with a generalized scalar auxiliary variable (GSAV) approach for …
splitting scheme coupled with a generalized scalar auxiliary variable (GSAV) approach for …
An unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn–Hilliard equation on generalized SAV approach
An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on generalized SAV
approach for the Cahn–Hilliard equation by combining with Fourier spectral method in …
approach for the Cahn–Hilliard equation by combining with Fourier spectral method in …
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
In simulations of fluid motion time accuracy has proven to be elusive. We seek highly
accurate methods with strong enough stability properties to deal with the richness of scales …
accurate methods with strong enough stability properties to deal with the richness of scales …