A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid–structure interaction problems

Huang, Daniel Z.; Santis, Dante De; Farhat, Charbel

doi:10.1016/j.jcp.2018.03.028

Cited by 29 publications

(31 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cottet and Maitre 34 Continuous forcing IBM FDM Diffused momentum forcing Huang and Sung 32 Yu 35 Fictitious domain method Zhang et al 33 FVM Fedkiw 36 Discrete forcing IBM FDM Ghost-fluid interpolation Liu et al 30 FEM Ghost-cell interpolation Mittal et al 31 FDM Degroote et al 37 Quasi-Newton method Li et al 38 Continuous Robin boundary condition Wang et al 27 EBM FVM Fluid-solid Riemann problem Huang et al 28 FIVER Li and Lai 26 IIM FDM Second-order projection method Present work FVM Level set function-based direct application of BCs at interface limited by the difficulty in solving highly nonlinear algebraic system, 24 and ALE methods are limited by the need to remesh and difficulty in handling large deformation. 19 The mesh motion problem observed in ALE is resolved in HLE method using a fixed Eulerian mesh in the fluid, with a special treatment for the cells near the solid-fluid interface.…”

Section: Reference Hle Methods Discretisation Methods Implementation Ofmentioning

confidence: 99%

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Thekkethil

Sharma

2019

Numerical Methods in Fluids

View full text Add to dashboard Cite

Summary Using a hybrid Lagrangian‐Eulerian approach, a level set function–based immersed interface method (LS‐IIM) is proposed for the interaction of a flexible body immersed in a fluid flow. The LS‐IIM involves finite volume method for the fluid solver, Galerkin finite element method for the structural solver, and a block‐iterative partitioned method–based fully implicit coupling between the two solvers. The novelty of the proposed method is a level set function–based direct implementation of fluid‐solid interface boundary conditions in both the solvers. Another novelty is the computation of the level set function from a geometric method instead of differential equations commonly used in level set methods—the novel geometric as compared to the traditional method is found to be more accurate and less time‐consuming. The LS‐IIM is demonstrated as second‐order accurate. Verification study is presented first separately for both the solvers and then together for four fluid‐structure interaction (FSI) problems, with different levels of complexity including lid‐driven flow, channel flow, and free‐stream flow. Benchmark solutions are presented for two class of FSI problems: first, easy to set up and less time‐consuming and, second, a reasonably challenging and complex FSI problem involving sharp edges and forced‐motion of the flexible structure. The benchmark solutions are proposed at steady state for the first problem, after a verification study with two open‐source solvers and, at periodic state, after a validation with published experimental results for the second problem. Our benchmark solutions may be useful for verification study in future.

show abstract

Section: Reference Hle Methods Discretisation Methods Implementation Ofmentioning

confidence: 99%

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Thekkethil

Sharma

2019

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…To this end, the Eulerian framework of the AERO Suite of codes 42,43 developed at Stanford University for the simulation of highly nonlinear FSI phenomena with topological changes is chosen to perform the FSI simulations of parachute inflation dynamics (PID) reported herein. This computational framework is equipped with the FIVER (finite volume method with exact two-phase Riemann problems) embedded boundary method for FSI, 8,[44][45][46][47] which has been extensively verified and validated for complex multimaterial problems. 9,10,48 Specifically, all FSI computations reported in this section are performed using the SA turbulence model implemented in conservation form in AERO Suite's massively parallel flow solver AERO-F.…”

Section: Computational Frameworkmentioning

confidence: 99%

Fast computation of the wall distance in unsteady Eulerian fluid‐structure computations

Grimberg

Farhat

2018

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

Summary Highly nonlinear, turbulent, dynamic, fluid‐structure interaction problems characterized by large structural displacements and deformations, as well as self‐contact and topological changes, are encountered in many applications. For such problems, the Eulerian computational framework, which is often equipped with an embedded (or immersed) boundary method for computational fluid dynamics, is often the most appropriate framework. In many circumstances, it requires the computation of the time‐dependent distance from each active mesh vertex of the embedding mesh to the nearest embedded discrete surface. Such circumstances include, for example, modeling turbulence using the Spalart‐Allmaras or detached eddy simulation turbulence models and performing adaptive mesh refinement in order to track the boundary layer. Evaluating at each time step the distance to the wall is computationally prohibitive, particularly in the context of explicit‐explicit fluid‐structure time‐integration schemes. Hence, this paper presents two complementary approaches for reducing this computational cost. The first one recognizes that many quantities depending on the wall distance are relatively insensitive to its inaccurate evaluation in the far field. Therefore, it simplifies a state‐of‐the‐art algorithm for computing the wall distance accordingly. The second approach relies on an effective wall distance error estimator to update the evaluation of the wall distance function only when otherwise, a quantity of interest that depends on it would become tainted by an unacceptable level of error. The potential of combining both approaches for dramatically accelerating the computation of the wall distance is demonstrated with the Eulerian simulation of the inflation of a disk‐gap‐band parachute system in a supersonic airstream.

show abstract

“…In addition, there are several more powerful nonlinear aeroelastic computer codes on the subject of computational aeroelasticity with high fidelity models and fluid structure interaction with reduced order models (ROMs) such as ARMA-ROM, Volterra-ROM, and POD-ROM. Many important works on this subject were done by Farhat et al [23][24][25][26] at Stanford University (Mech and Aerospace Engr Dept). A linearized synchronous and staggered fluid-structure time-integration interaction algorithms [27][28][29] were introduced and applied to predict the transient aeroelastic response of a reduced-order model of a complete F-16 aircraft configuration at a given Mach number.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Framework for Coupled Nonlinear Aeroelasticity and Flight Dynamics of Highly Flexible Aircrafts

et al. 2020

View full text Add to dashboard Cite

A framework to model and analyze the coupled nonlinear aeroelasticity and flight dynamics of highly flexible aircrafts is presented. The methodology is based on the dynamics of 3D co-rotational beams. The coupling of axial, bending and torsional effects is added to the stiffness and mass matrices of Euler-Bernoulli beam to capture the most relevant characteristics of a real wing structure. The finite-state aerodynamic model is coupled with the structural model to simulate the unsteady aerodynamics. A scheme of mixed end-point and mid-point time-marching algorithms is proposed and applied into the implicit predictor-corrector integration, where the end-point algorithm is used in the predictor step for efficiency and mid-point algorithm in corrector step for accuracy. The ground, body and airflow axes for flight dynamics are re-defined by the global and elemental ones for structural dynamics, followed by the redefinitions of local Euler angles and airflow angles of each element. The framework can be used for quick analyses of flexible aircrafts in conceptual and preliminary design phases, including linear and nonlinear trim, aerodynamic load estimation, stability assessment, time-domain simulations and flight performance evaluations. The results show the payload mass and its distributions will significantly affect the trim state and longitudinal stability of highly flexible aircrafts.

show abstract

A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid–structure interaction problems

Cited by 29 publications

References 62 publications

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Fast computation of the wall distance in unsteady Eulerian fluid‐structure computations

A Comprehensive Framework for Coupled Nonlinear Aeroelasticity and Flight Dynamics of Highly Flexible Aircrafts

Contact Info

Product

Resources

About