A ghost-cell immersed boundary method for simulations of heat transfer in compressible flows under different boundary conditions

Luo, Kun; Zhuang, Zhenya; Fan, Jianren; Haugen, Nils Erland L.

doi:10.1016/j.ijheatmasstransfer.2015.09.024

Cited by 67 publications

(40 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the LDG method, stabilization parameter C 11 and auxiliary parameter C 12 are defined on each face e as follows:…”

Section: Local Discontinuous Galerkin Methodsmentioning

confidence: 99%

“…The robustness and accuracy of the methodology have been validated against welldocumented turbulent flow test problems. Now, the IBM method is applied to many fluid dynamic problems such as heat transfer problems [10][11][12], fluid-solid interaction problems [13], complex/moving boundary problems [14], incompressible flows [15], and natural convection problems [16].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method

Zhang

Zhu

Yan

et al. 2018

Chin. J. Mech. Eng.

View full text Add to dashboard Cite

Currently, many studies on the local discontinuous Galerkin method focus on the Cartesian grid with low computational efficiency and poor adaptability to complex shapes. A new immersed boundary method is presented, and this method employs the adaptive Cartesian grid to improve the adaptability to complex shapes and the immersed boundary to increase computational efficiency. The new immersed boundary method employs different boundary cells (the physical cell and ghost cell) to impose the boundary condition and the reconstruction algorithm of the ghost cell is the key for this method. The classical model elliptic equation is used to test the method. This method is tested and analyzed from the viewpoints of boundary cell type, error distribution and accuracy. The numerical result shows that the presented method has low error and a good rate of the convergence and works well in complex geometries. The method has good prospect for practical application research of the numerical calculation research. which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

show abstract

“…In the LDG method, stabilization parameter C 11 and auxiliary parameter C 12 are defined on each face e as follows:…”

Section: Local Discontinuous Galerkin Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method

Zhang

Zhu

Yan

et al. 2018

Chin. J. Mech. Eng.

View full text Add to dashboard Cite

show abstract

“…Three types of boundary conditions, the Dirichlet, Neumann or Robin boundary condition have been implemented, similarly as for the simple circular object discussed in Section 2.2.1. For more details and test of the boundary conditions, the reader is referred to Luo et al (2016).…”

Section: Complex Geometriesmentioning

confidence: 99%

Treatment of solid objects in the Pencil Code using an immersed boundary method and overset grids

Aarnes

Jin

Mao

et al. 2018

Geophysical & Astrophysical Fluid Dynamics

Self Cite

View full text Add to dashboard Cite

Two methods for solid body representation in flow simulations available in the Pencil Code are the immersed boundary method and overset grids. These methods are quite different in terms of computational cost, flexibility and numerical accuracy. We present here an investigation of the use of the different methods with the purpose of assessing their strengths and weaknesses. At present, the overset grid method in the Pencil Code can only be used for representing cylinders in the flow. For this task it surpasses the immersed boundary method in yielding highly accurate solutions at moderate computational costs. This is partly due to local grid stretching and a body-conformal grid, and partly due to the possibility of working with local time step restrictions on different grids. The immersed boundary method makes up the lack of computational efficiency with flexibility in regards to application to complex geometries, due to a recent extension of the method that allows our implementation of it to represent arbitrarily shaped objects in the flow.

show abstract

“…The boundary condition may be represented by inserting body force terms into the cell containing solid so that the nonslip condition will be satisfied . Other methods like the ghost cell approach define a virtual layer of nodes, which are located inside the body and have at least one adjacent cell in the fluid computational domain. The flow field variables at the ghost nodes are computed based on these values at the neighboring cells and the boundary condition applying on the body surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical approach for generic three‐phase flow based on cut‐cell and ghost fluid methods

Dang

Meese

Morud

et al. 2019

Numerical Methods in Fluids

View full text Add to dashboard Cite

Summary In this paper, we introduce numerical methods that can simulate complex multiphase flows. The finite volume method, applying Cartesian cut‐cell is used in the computational domain, containing fluid and solid, to conserve mass and momentum. With this method, flows in and around any geometry can be simulated without complex and time consuming meshing. For the fluid region, which involves liquid and gas, the ghost fluid method is employed to handle the stiffness of the interface discontinuity problem. The interaction between each phase is treated simply by wall function models or jump conditions of pressure, velocity and shear stress at the interface. The sharp interface method “coupled level set (LS) and volume of fluid (VOF)” is used to represent the interface between the two fluid phases. This approach will combine some advantages of both interface tracking/capturing methods, such as the excellent mass conservation from the VOF method and good accuracy of interface normal computation from the LS function. The first coupled LS and VOF will be generated to reconstruct the interface between solid and the other materials. The second will represent the interface between liquid and gas.

show abstract

A ghost-cell immersed boundary method for simulations of heat transfer in compressible flows under different boundary conditions

Cited by 67 publications

References 41 publications

New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method

New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method

Treatment of solid objects in the Pencil Code using an immersed boundary method and overset grids

Numerical approach for generic three‐phase flow based on cut‐cell and ghost fluid methods

Contact Info

Product

Resources

About