DeepAI AI Chat
Log In Sign Up

Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations

01/22/2021
by   Shinhoo Kang, et al.
0

Earth system models are composed of coupled components that separately model systems such as the global atmosphere, ocean, and land surface. While these components are well developed, coupling them in a single system can be a significant challenge. Computational efficiency, accuracy, and stability are principal concerns. In this study we focus on these issues. In particular, implicit-explicit (IMEX) tight and loose coupling strategies are explored for handling different time scales. For a simplified model for the air-sea interaction problem, we consider coupled compressible Navier-Stokes equations with an interface condition. Under the rigid-lid assumption, horizontal momentum and heat flux are exchanged through the interface. Several numerical experiments are presented to demonstrate the stability of the coupling schemes. We show both numerically and theoretically that our IMEX coupling methods are mass conservative for a coupled compressible Navier-Stokes system with the rigid-lid condition.

READ FULL TEXT

page 20

page 23

page 24

page 25

page 26

page 27

02/24/2022

Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations

Earth system models are complex integrated models of atmosphere, ocean, ...
09/03/2019

Stability Analysis of Interface Conditions for Ocean-Atmosphere Coupling

In this paper we analyze the stability of different coupling strategies ...
03/19/2018

Solving coupled problems of lumped parameter models in a platform for severe accidents in nuclear reactors

This paper focuses on solving coupled problems of lumped parameter model...
07/03/2020

A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows

We study a decoupling iterative algorithm based on domain decomposition ...
09/27/2022

A Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation

We consider a coupled model of free-flow and porous medium flow, governe...
07/01/2020

Coupling Learning of Complex Interactions

Complex applications such as big data analytics involve different forms ...
02/07/2023

Including connecting elements into the Lagrange multiplier state-space substructuring formulation

This paper extends the inverse substructuring (IS) approach to the state...