The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework

He, Tao; Wang, Tong; Zhang, Hexin

doi:10.1016/j.compfluid.2018.01.022

Cited by 24 publications

(12 citation statements)

References 57 publications

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“…The mesh deformation method adopts a blend of moving submesh approach (MSA) and the ortho‐semitorsional spring analogy method . This approach is able to considerably augment the efficiency of updating ALE mesh, in comparison with the spring analogy method . The fully discrete model of the FSI system comprises a set of coupled nonlinear equations to be solved in a partitioned way .…”

Section: Other Aspects Of Fsimentioning

confidence: 99%

A truly mesh‐distortion‐enabled implementation of cell‐based smoothed finite element method for incompressible fluid flows with fixed and moving boundaries

2020

Numerical Meth Engineering

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Mesh-free properties are part of the superiority of cell-based smoothed finite element method (CS-FEM), but have yet to be fully exploited for computational fluid dynamics. A novel implementation of CS-FEM for incompressible viscous fluid flows in stationary and deforming domains discretized by severely distorted bilinear four-node quadrilateral (Q4) elements is presented in this article. The negative determinant of the Jacobian transformation from the Cartesian coordinates to the natural coordinates is intentionally stipulated for the corresponding mesh over which FEM inevitably fails in practice. It is found that, without ad hoc modifications, CS-FEM incurs unsatisfactory results and even a failure on fixed meshes. To cater for general computations on either a uniform or nonuniform mesh represented by these badly degenerated elements, four smoothing cells (SCs) are deployed in convex Q4 element whereas one SC in concave Q4 element. A simple hourglass control is introduced into those under-integrated quadrilaterals for stabilizing the one-SC quadrature in smoothed Galerkin weak form. Thanks to the adoption of characteristic-based split (CBS) scheme for the fluid solution, a byproduct is the unfolded equivalence of the CBS stabilization and balancing tensor diffusivity under the incompressibility constraint. Several benchmark problems involving incompressible fluid flow and fluid-structure interaction are solved. Numerical results show the good accuracy and robustness of the proposed approach that raises a seductive idea for resolving moving-mesh problems. K E Y W O R D S distorted mesh, fluid-structure interaction, incompressible fluid, negative-Jacobian element, smoothed finite element method 1 INTRODUCTION Cell-based smoothed finite element method (CS-FEM), formerly known as S-FEM in the seminal publication, 1 offers a new paradigm for FEM modeling and simulation with unique attractions. The essential idea behind CS-FEM lies in Int J Numer Methods Eng. 2020;121:3227-3248. wileyonlinelibrary.com/journal/nme

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Section: Other Aspects Of Fsimentioning

confidence: 99%

A truly mesh‐distortion‐enabled implementation of cell‐based smoothed finite element method for incompressible fluid flows with fixed and moving boundaries

2020

Numerical Meth Engineering

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“…21 Interested readers can consult our previous works 12, 14 for more details. 21 Interested readers can consult our previous works 12, 14 for more details.…”

Section: Two-level Mesh Updatingmentioning

confidence: 99%

“…In comparison with the OST spring analogy method, the 2-level approach is capable of remarkably depressing the time consumption of mesh updating while preserving the grid topology. 21 Interested readers can consult our previous works 12, 14 for more details.…”

Section: Two-level Mesh Updatingmentioning

confidence: 99%

“…Interestingly, the immersed boundary concept is implanted into the CBS scheme for the incompressible viscous fluid interacting with largely deformable solids. 21 The objective of this study is twofold. In particular, the ALE-advection-diffusion step is explicitly treated with the predicted fluid mesh, whereas the projection step is implicitly coupled with the structural movement on the fluid mesh frozen temporarily.…”

Section: Introductionmentioning

confidence: 99%

“…To mitigate the constraint, an artificial compressibility scheme is attempted for the semi-implicit coupling algorithm. 21 The objective of this study is twofold. Firstly, the more generic CBS-Ψ coupling algorithm is developed to bypass the aforementioned defects.…”

Section: Introductionmentioning

confidence: 99%

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Improving the CBS‐based partitioned semi‐implicit coupling algorithm for fluid‐structure interaction

Yang

Baniotopoulos

2018

Numerical Methods in Fluids

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Summary We detail in this work 2 simple but effective alternatives to improve the characteristic‐based split–based partitioned semi‐implicit coupling algorithm for fluid‐structure interaction. The basic idea lies in introducing the end‐of‐step velocity into the implicit stages of the 2 algorithms integrating different splits. The algorithm built upon the second‐order pressure split is further stabilized via the pressure gradient projection with particular emphasis on the extremely low mass ratio. The smoothed finite element method is exploited for spatial discretization of fluid and solid equations. Even without any accelerators, both the semi‐implicit solvers incorporating fixed‐point iterations engender visible improvements versus the previously published data for several benchmarks.

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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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The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework

Cited by 24 publications

References 57 publications

A truly mesh‐distortion‐enabled implementation of cell‐based smoothed finite element method for incompressible fluid flows with fixed and moving boundaries

A truly mesh‐distortion‐enabled implementation of cell‐based smoothed finite element method for incompressible fluid flows with fixed and moving boundaries

Improving the CBS‐based partitioned semi‐implicit coupling algorithm for fluid‐structure interaction

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

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