Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system

Y Tang, G Zou, J Li - Journal of Scientific Computing, 2023 - Springer
In this paper, we first deduce an improved chemotaxis-fluid system by introducing a
chemotactic stress force, which can be used to describe the chemotactic movement of …

Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model

Q Li, G Du - Journal of Scientific Computing, 2022 - Springer
In this paper, some local and parallel finite element methods based on two-grid methods are
presented for the non-stationary Navier-Stokes/Darcy model. Based on two-grid methods for …

Numerical Method for Fractional-Order Generalization of the Stochastic Stokes–Darcy Model

A Berdyshev, D Baigereyev, K Boranbek - Mathematics, 2023 - mdpi.com
This paper is aimed at efficient numerical implementation of the fractional-order
generalization of the stochastic Stokes–Darcy model, which has important scientific, applied …

A second order multirate scheme for the evolutionary Stokes–Darcy model

P Chidyagwai - Applied Numerical Mathematics, 2021 - Elsevier
A second order multirate scheme for the evolutionary coupled Stokes–Darcy problem is
proposed and analyzed. The scheme decouples the problem into two smaller subproblems …

A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction

J Li, J Gao, Y Shu - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, a parallel, non-spatial iterative, and rotational pressure projection method for
the coupled Navier-Stokes equations is proposed and developed. As for each Navier-Stokes …