A hybrid Cartesian-meshless method for the simulation of thermal flows with complex immersed objects

Huang，Tao1,2; Zhao，Haibo1,3; Chen，Hao1,4; Yao，Yang5; Yu，Peng1,6

2022-10-01

10.1063/5.0100224

PHYSICS OF FLUIDS   Impact Factor & Quartile

1070-6631

1089-7666

In this study, a hybrid Cartesian-meshless method is first extended to deal with the thermal flows with complex immersed objects. The temperature and flow fields are governed by energy conservation equations and Navier-Stokes equations with the Boussinesq approximation, respectively. The governing equations are solved by a conventional finite difference scheme on a Cartesian grid and generalized finite difference (GFD) with singular value decomposition (SVD) approximation on meshless nodes, with second-order accuracy. The present thermal SVD-GFD method is applied to simulate the following seven numerical examples over a wide range of governing parameters, including that with the high Prandtl number: (1) forced convection around a circular cylinder; (2) mixed convection around a stationary circular cylinder in a lid-driven cavity; (3) mixed convection involving a moving boundary in a cavity with two rotating circular cylinders; (4) sedimentation of a cold circular particle in a long channel; (5) freely falling of a sphere in viscous fluid with thermal buoyancy; (6) sedimentation of a torus with thermal convection; and (7) flow over a heated circular cylinder. The excellent agreement between the published data and the present numerical results demonstrate the good capability of the thermal SVD-GFD method to simulate the thermal flows with complex immersed objects, especially those involving fluid-structure interaction and the high Prandtl number.

SCI

English

First ; Corresponding

National Science and Technology Major Project[J2019-II-0006-0026] ; National Natural Science Foundation of China (NSFC)["12172163","12002148","91852205"]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000876560200003

AIP Publishing

PHYSICS

2-s2.0-85141193344

Scopus

1.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
2.School of Astronautics,Harbin Institute of Technology,Harbin,Heilongjiang,150001,China
3.Department of Mechanical Engineering,The University of Hong Kong,Hong Kong,Hong Kong
4.Department of Mechanical Engineering,National University of Singapore,Singapore,119260,Singapore
5.Midea Corporate Research Center,Midea Group,Foshan,Guangdong,528311,China
6.Center for Complex Flows and Soft Matter Research,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Huang，Tao,Zhao，Haibo,Chen，Hao,et al. A hybrid Cartesian-meshless method for the simulation of thermal flows with complex immersed objects[J]. PHYSICS OF FLUIDS,2022,34(10).

Huang，Tao,Zhao，Haibo,Chen，Hao,Yao，Yang,&Yu，Peng.(2022).A hybrid Cartesian-meshless method for the simulation of thermal flows with complex immersed objects.PHYSICS OF FLUIDS,34(10).

Huang，Tao,et al."A hybrid Cartesian-meshless method for the simulation of thermal flows with complex immersed objects".PHYSICS OF FLUIDS 34.10(2022).