A consistent direct discretization scheme on Cartesian grids for convective and conjugate heat transfer

Sato, Norikazu; Takeuchi, Shintaro; Kajishima, Takeo; Inagaki, Masahide; Horinouchi, Nariaki

doi:10.1016/j.jcp.2016.05.034

Cited by 29 publications

(45 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The present authors have developed a method that directly discretises the governing equation even at the grid points adjacent to the interface, while at the same time, ensuring consistency between the incompressible velocity and pressure fields [19,21]. By their "consistent direct discretisation" for the discrete-forcing immersed boundary (DF-IB) approach, the non-slip condition on the interface was strictly imposed in a discrete sense while satisfying The above consistent direct discretisation for the DF-IB method is a suitable approach for membrane permeation, as the pressure fields on both sides reflect the local incompressible conservation at a cell level, which results in a sharp representation of the interface.…”

Section: Outline Of the Numerical Methodsmentioning

confidence: 99%

“…Early efforts on simulating membrane permeation problems [14,15,16,17] employed a diffused interface, where a substantial thickness of the interface may be inevitable [18]. The present authors have focused on the sharpness problem and developed an effective approach (based on the discrete-forcing immersed boundary method [19,20]) that can represent the sharp discontinuity of pressure across a permeable membrane [21] by strictly satisfying mass conservation in the vicinity of the permeable membrane. In addition, the mass transfer problems form a complex numerical system as they constitute a coupled system between the permeate solute/solvent, the membrane motion, and the motion of the ambient fluid [13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

et al. 2020

Self Cite

View full text Add to dashboard Cite

To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and non-linear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.

show abstract

Section: Outline Of the Numerical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Compared with the conjugate boundary restriction [2,3]: Consequently, for the LB approach, the key to accurately model conjugate problems is to recover the diffusion term in the energy equation exactly (i.e. the term at the right hand of Eq.…”

Section: Macroscopic Governing Equation For Conjugate Heat Transfermentioning

confidence: 99%

“…From the viewpoint of scientific computing, the challenge of a conjugate problem may come from solving a strongly "coupled" interface domain which is subject to Dirichletand Neumann-like boundary restriction at the the same time (but please bear in mind that a conjugate boundary condition is neither a standard Dirichlet/Neumann boundary condition nor a combination of them). No doubt, how to accurately and efficiently solve a conjugate problem has been an important topic in heat transfer research [2,3]. Especially, to the popularly used numerical techniques, their algorithmic complication will be dramatically enhanced for a conjugate problem with a complex interface [3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A simple lattice Boltzmann model for conjugate heat transfer research

Chen

Yan

Gong

2017

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

In this paper a lattice Boltzmann (LB) model is proposed for conjugated heat transfer research. Through taking the most advantages of the standard LB method, the present model can remedy the shortcomings of the available related LB models via a simple way and meanwhile a number of intrinsic advantages of the standard LB method are preserved. It does not require any specific treatment dependent on interface topology and independent from the choice of lattice model. Moreover, it can be used for unsteady problems with complicated and time dependent interfaces. The accuracy and reliability of the present model are validated by three nontrivial benchmark tests. The good agreements between the present numerical prediction and available open data demonstrate the applicability of the present model for complicated conjugated heat transfer problems. Finally, the present model could be extended to some other important areas straightforwardly, such as fluid-solid phase change modeling.

show abstract

Numerical scheme solving the temperature of the interface between gas and heterogeneous solid with phase change

Cang

Wang

et al. 2021

Numerical Meth Engineering

View full text Add to dashboard Cite

To solve the temperature at the fluid-solid interface in conjugate heat transfer simulations, a partitioned yet non-iterative scheme with desirable accuracy has been developed. It takes into account the involved complex effects, for example, heterogeneous solid structure, moving interface, and phase change.The fluid and solid phases are discretized by standard Cartesian and unstructured tetrahedron meshes, respectively. At each time step the moving fluid-solid interface is tracked with the level-set function. The non-iterative solution is achieved by formulating a linear system formed from the discretized interface elements, each of which, either triangular or quadrilateral, is assigned with a respective control volume constructed from adjacent grid points in both fluid and solid phases. The temperature gradient operator is treated by the node-based Green-Gauss formula for better robustness if the interface geometry (or mesh) is highly skewed. Numerical results demonstrate the second-order accuracy with satisfactory robustness even on highly skewed interfaces.

show abstract

A consistent direct discretization scheme on Cartesian grids for convective and conjugate heat transfer

Cited by 29 publications

References 39 publications

Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

A simple lattice Boltzmann model for conjugate heat transfer research

Numerical scheme solving the temperature of the interface between gas and heterogeneous solid with phase change

Contact Info

Product

Resources

About