A high-order discontinuous Galerkin method for simulating incompressible fluid-thermal-structural interaction problems

Cai, Zhemin; Thornber, Ben

doi:10.1016/j.ijheatfluidflow.2020.108572

Cited by 3 publications

(6 citation statements)

References 33 publications

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“…In Figure 14(B) the enforced temperature condition renders a stable thermal stratification inside the flexible cavity. It is noticed that the steady computation tends to bring about similar contours for the two variables in the early publication 10 …”

Section: Numerical Examplesmentioning

confidence: 93%

“…The flow inside a flexible and open cavity was initially proposed by Mok and Wall 67 and then is widely used as an FSI tester with varying circumstances 44,45,69,70 . Al‐Amiri and Khanafer 49 and Cai and Thornber 10 investigated the steady mixed fluid flow and convective heat transfer inside the open cavity in different conditions. Figure 11 illustrates the initially undeformed configuration and boundary conditions of the lid‐driven cavity.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…The measuring point is placed in the middle of the top of the bottom. The system parameters are specified as: 10

ρ_{f} = 1

ν_{f} = 0.01

, Pr = 0.71, Gr = 100,

ρ_{s} = 500

, E = 2.5 × 10 4 , and

ν = 0

.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Their computational study employs an efficient one‐way coupling for VIV in the fully laminar flow region. Shortly, a high‐order discontinuous Galerkin method 10 is proposed for steady incompressible FTSI using an arbitrary Lagrangian–Eulerian (ALE) formulation 11 . A benchmark problem, that is, the open lid‐driven cavity equipped with a flexible thin bottom, has been partially studied therein.…”

Section: Introductionmentioning

confidence: 99%

“…To realize the multifield coupling, the block‐Gauss–Seidel iterative method 48 is adopted to iterate the FTSI system at each time step since it clarifies different disciplines solved in a sequential manner. Because a mass of existing computational studies copes with steady problems, 10,49 different unsteady FTSI examples involving both a rigid body and a geometrically nonlinear solid continuum are about to be solved herein. The transient multiphysical features accompanying large structural displacement and finite solid deformation are investigated in the interest of methodological verification.…”

Section: Introductionmentioning

confidence: 99%

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Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

2020

Numerical Methods in Fluids

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This work generalizes the cell‐based smoothed finite element method (CS‐FEM) into fluid–thermal–structure interaction (FTSI) analysis under the arbitrary Lagrangian–Eulerian description. The thermal buoyancy is included with the incompressible Navier–Stokes equations through the Boussinesq approximation. The combined fluid flow and energy equations are solved by a smoothed characteristics‐based split algorithm that incorporates equal low‐order interpolations for the three primitive variables. The structural motions involving both oscillating rigid and flexible bodies are advanced by the generalized‐α method. Moreover, the nonlinear elastodynamics equations discretized with the CS‐FEM are linearized by the modified Newton–Raphson method. An efficient two‐level mesh updating scheme is subsequently discussed to account for large structural displacement and finite solid deformation. The cell‐based smoothing concept is then adopted to evaluate fluid forces acting on the immersed structure. The smoothed FTSI system is iteratively solved by the block‐Gauss–Seidel procedure. Transient FTSI examples are tested to demonstrate the effectiveness and robustness of the CS‐FEM.

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Section: Numerical Examplesmentioning

confidence: 93%

Section: Numerical Examplesmentioning

confidence: 99%

“…The measuring point is placed in the middle of the top of the bottom. The system parameters are specified as: 10

ρ_{f} = 1

ν_{f} = 0.01

, Pr = 0.71, Gr = 100,

ρ_{s} = 500

, E = 2.5 × 10 4 , and

ν = 0

.…”

Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

2020

Numerical Methods in Fluids

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A fast fluid–solid coupled heat transfer algorithm based on dividing the development stages of the flow field

Zhao,

Zhou,

Ding

et al. 2024

International Journal of Heat and Fluid Flow

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Thermal fluid-structure interaction by discontinuous Galerkin methods

Gulizzi

2023

Materials Research Proceedings

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Abstract. This research study presents a novel high-order accurate computational framework for thermal fluid-structure interaction problems. The framework is based on the use of block-structured Cartesian grids where level set functions are employed to define both the fluid and the solid regions. This leads to a mesh that consists of a collection of standard d-dimensional rectangular elements and a relatively smaller number of irregular elements at the fluid-solid interface. The embedded boundaries are resolved with high-order accuracy thanks to the use of high-order accurate quadrature rules for implicitly-defined regions. The fluid is assumed compressible and governed by the inviscid Navier-Stokes equations, whilst the solid region obeys the equations of thermo-elasticity within the small-strain regime. Numerical examples are provided to assess the capability of the proposed approach.

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A high-order discontinuous Galerkin method for simulating incompressible fluid-thermal-structural interaction problems

Cited by 3 publications

References 33 publications

Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

A fast fluid–solid coupled heat transfer algorithm based on dividing the development stages of the flow field

Thermal fluid-structure interaction by discontinuous Galerkin methods

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