Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model

Chertock，A.1; Kurganov，A.2; Lukáčová-Medvid'ová，M.3; Spichtinger，P.4; Wiebe，B.5

2023-04-15

10.1016/j.jcp.2023.111987

JOURNAL OF COMPUTATIONAL PHYSICS   Impact Factor & Quartile

0021-9991

1090-2716

This paper is a continuation of the work presented in Chertock et al. (2019) [8]. We study uncertainty propagation in warm cloud dynamics of weakly compressible fluids. The mathematical model is governed by a multiscale system of PDEs in which the macroscopic fluid dynamics is described by a weakly compressible Navier-Stokes system and the microscopic cloud dynamics is modeled by a convection-diffusion-reaction system. In order to quantify uncertainties present in the system, we derive and implement a generalized polynomial chaos stochastic Galerkin method. Unlike the first part of this work, where we restricted our consideration to the partially stochastic case in which the uncertainties were only present in the cloud physics equations, we now study a fully random Navier-Stokes-cloud model in which we include randomness in the macroscopic fluid dynamics as well. We conduct a series of numerical experiments illustrating the accuracy and efficiency of the developed approach.

Cloud dynamics Finite-volume schemes IMEX time discretization Navier-Stokes equations Stochastic Galerkin method Uncertainty quantification

English

Others

PHYSICS

2-s2.0-85148333259

Scopus

1.Department of Mathematics,North Carolina State University,United States
2.Department of Mathematics,SUSTech International Center for Mathematics,Guangdong Provincial Key Laboratory of Computational Science and Material Design,Southern University of Science and Technology,Shenzhen,518055,China
3.Institute of Mathematics,Johannes Gutenberg-University Mainz,Germany
4.Institute of Atmospheric Physics,Johannes Gutenberg-University Mainz,Germany
5.Institute of Mathematics,University of Zurich,Switzerland

Chertock，A.,Kurganov，A.,Lukáčová-Medvid'ová，M.,et al. Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,479.

Chertock，A.,Kurganov，A.,Lukáčová-Medvid'ová，M.,Spichtinger，P.,&Wiebe，B..(2023).Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model.JOURNAL OF COMPUTATIONAL PHYSICS,479.

Chertock，A.,et al."Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model".JOURNAL OF COMPUTATIONAL PHYSICS 479(2023).