A stable second-order partitioned iterative scheme for freely vibrating low-mass bluff bodies in a uniform flow

Jaiman, Rajeev K.; Pillalamarri, Narasimha Rao; Guan, Minyuan

doi:10.1016/j.cma.2015.12.019

Cited by 92 publications

(74 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…large-scale vibrations. Identical to the work of Jaiman et al, 56 the 2S vortex-shedding mode is seen in the wake at such a low Re. Form = 0.471, the present semi-implicit method saves nearly 10% overheads in Table 4, though the extra SPGP stabilization is introduced.…”

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circusupporting

confidence: 81%

“…The highly stable and smooth responses of the lightweight cylinder have been established for long in the 2 pictures by means of the CBS(B)-Ψ coupling method. We find out that, compared to the NFIC algorithm, 56 the developed semi-implicit FSI solver does not introduce any loss of computational accuracy. Obviously, the SSC method becomes entirely unstable and soon fails in the numerical simulation.…”

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 94%

“…56 The system parameters are specified as follows: f r = 0.2, = 0, Re = 100, and 0.188 ⩽m ⩽ 0.471. 56 The system parameters are specified as follows: f r = 0.2, = 0, Re = 100, and 0.188 ⩽m ⩽ 0.471.…”

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

“…The relevant geometry and computational parameters are as same as those in the first example. 56 Next, let us move on to them = 0.393 case. To this end, a finer finite element mesh consisting of 8880 Q4 elements and 9090 nodes is employed for spatial discretization.…”

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

“…To this end, a finer finite element mesh consisting of 8880 Q4 elements and 9090 nodes is employed for spatial discretization. 56 In spite of the SSC's failure, the CBS(B)-Ψ coupling scheme is a great success when the calculation is initialized. The highly stable and smooth responses of the lightweight cylinder have been established for long in the 2 pictures by means of the CBS(B)-Ψ coupling method.…”

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

See 4 more Smart Citations

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

Yang

Baniotopoulos

2018

Numerical Methods in Fluids

View full text Add to dashboard Cite

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.

show abstract

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circusupporting

confidence: 81%

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 94%

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

Section: Small-mass-ratio Problems 721 Free Oscillations Of a Circumentioning

confidence: 99%

See 3 more Smart Citations

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

Yang

Baniotopoulos

2018

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

A hybrid variational Allen‐Cahn/ALE scheme for the coupled analysis of two‐phase fluid‐structure interaction

Joshi

Jaiman

2018

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

Summary We present a partitioned iterative formulation for the modeling of fluid‐structure interaction (FSI) in two‐phase flows. The variational formulation consists of a stable and robust integration of three blocks of differential equations, viz, an incompressible viscous fluid, a rigid or flexible structure, and a two‐phase indicator field. The fluid‐fluid interface between the two phases, which may have high density and viscosity ratios, is evolved by solving the conservative phase‐field Allen‐Cahn equation in the arbitrary Lagrangian‐Eulerian coordinates. While the Navier‐Stokes equations are solved by a stabilized Petrov‐Galerkin method, the conservative Allen‐Cahn phase‐field equation is discretized by the positivity preserving variational scheme. Fully decoupled implicit solvers for the two‐phase fluid and the structure are integrated by the nonlinear iterative force correction in a staggered partitioned manner and the generalized‐α method is employed for the time marching. We assess the accuracy and stability of the phase‐field/ALE variational formulation for two‐ and three‐dimensional problems involving the dynamical interaction of rigid bodies with free surface. We consider the decay test problems of increasing complexity, namely, free translational heave decay of a circular cylinder and free rotation of a rectangular barge. Through numerical experiments, we show that the proposed formulation is stable and robust for high density ratios across fluid‐fluid interface and for low structure‐to‐fluid mass ratio with strong added‐mass effects. Overall, the proposed variational formulation produces results with high accuracy and compares well with available measurements and reference numerical data. Using unstructured meshes, we demonstrate the second‐order temporal accuracy of the coupled phase‐field/ALE method via decay test of a circular cylinder interacting with the free surface. Finally, we demonstrate the three‐dimensional phase‐field FSI formulation for a practical problem of internal two‐phase flow in a flexible circular pipe subjected to vortex‐induced vibrations due to external fluid flow.

show abstract

Multi-Phase Fluid-Structure Interaction with Diffused Interface Capturing

Joshi

Gurugubelli

2022

Advances in Computational Modeling and Simulation

View full text Add to dashboard Cite

A stable second-order partitioned iterative scheme for freely vibrating low-mass bluff bodies in a uniform flow

Cited by 92 publications

References 50 publications

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

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

A hybrid variational Allen‐Cahn/ALE scheme for the coupled analysis of two‐phase fluid‐structure interaction

Multi-Phase Fluid-Structure Interaction with Diffused Interface Capturing

Contact Info

Product

Resources

About