High‐order ghost‐point immersed boundary method for viscous compressible flows based on summation‐by‐parts operators

Khalili, M. Ehsan; Larsson, Martin; Müller, Bernhard

doi:10.1002/fld.4696

Cited by 19 publications

(15 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The ghost point immersed boundary method (IBM) by [6], [7], [8] is employed. In this method, the fluid domain is discretized on a Cartesian grid.…”

Section: Ghost Point Immersed Boundary Methodsmentioning

confidence: 99%

“…The nondimensional viscous perturbation flux vectors F v and G v are defined similarly as in the standard formulation of the compressible Navier-Stokes equations, cf. [7], [8]. A Newtonian fluid with the Sutherland law for the viscosity, a perfect gas with the ratio γ = 1.4 of specific heats for air, and a constant Prandtl number P r = 0.72 are considered.…”

Section: Governing Equations 21 Compressible Navier-stokes Equationsmentioning

confidence: 99%

“…A coordinate transformation ξ = ξ(x, y), η = η(x, y), cf. [7], [8], is used to improve the resolution near the immersed boundary as seen in Figure 1.…”

Section: Governing Equations 21 Compressible Navier-stokes Equationsmentioning

confidence: 99%

“…Globally fourth order SBP operators have been used for an IBM to simulate compressible flow over stationary and moving bodies, cf. [6], [7], [8]. That IBM has been extended to FSI of compressible flow with an elastically mounted circular cylinder [9] and will be reported here.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

High Order Immersed Boundary Method for Fluid-Structure Interaction of Viscous Compressible Flowwith a Rigid Body

Ringstad¹,

Khalili²,

Müller³

2020

Topical Problems of Fluid Mechanics 2020

Self Cite

View full text Add to dashboard Cite

An efficient and versatile immersed boundary method (IBM) for simulating fluid-structure interaction (FSI) of compressible viscous flows with a convex rigid body has been developed. The compressible Navier-Stokes equations are discretized by globally fourth order summationby-parts (SBP) difference operators with built-in stability properties and the classical fourth order explicit Runge-Kutta method. The proposed Cartesian grid-based IBM enforces the solid wall boundary conditions at ghost points. Bilinear interpolation of the flow variables at image points and the solid wall boundary conditions are used to determine the flow variables at three layers of ghost points within the solid body in order to introduce the presence of the body interface in the high order flow computation. FSI of freestream flow at Reynolds number 200 and Mach number 0.25 with an elastically mounted circular cylinder is simulated. The equation of motion of the rigid body is solved by the classical fourth order explicit Runge-Kutta method. The coupling between the fluid and the structure is handled by exchanging the positions, velocities and forces at the fluid-structure interface in each stage. The rate of energy transferred between the fluid and the structure is investigated.

show abstract

“…The ghost point immersed boundary method (IBM) by [6], [7], [8] is employed. In this method, the fluid domain is discretized on a Cartesian grid.…”

Section: Ghost Point Immersed Boundary Methodsmentioning

confidence: 99%

Section: Governing Equations 21 Compressible Navier-stokes Equationsmentioning

confidence: 99%

“…A coordinate transformation ξ = ξ(x, y), η = η(x, y), cf. [7], [8], is used to improve the resolution near the immersed boundary as seen in Figure 1.…”

Section: Governing Equations 21 Compressible Navier-stokes Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

High Order Immersed Boundary Method for Fluid-Structure Interaction of Viscous Compressible Flowwith a Rigid Body

Ringstad¹,

Khalili²,

Müller³

2020

Topical Problems of Fluid Mechanics 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…There are a few studies on the acoustic scattering (Seo and Mittal, 2011;Bae and Moon, 2012;Sun et al, 2012). However, there has been no DNS of the aeroacoustic sound by the immersed boundary method of discrete approach except that Khalili et al (2019) showed limited results on the aeroacoustic sound generated from a flow past a circular cylinder. In order to capture acoustic waves of small amplitude the accuracy of the immersed boundary method should be checked carefully since it can be lost by interpolation, treatment of boundary conditions, or other reasons.…”

Section: Introductionmentioning

confidence: 99%

Assessment of immersed boundary method as a tool for direct numerical simulation of aeroacoustic sound

Nishikawa

Konno

Hattori

2020

JFST

View full text Add to dashboard Cite

An immersed boundary method of discrete type is tested as a tool for direct numerical simulation of aeroacoustic sound. The numerical method consists of the WENO scheme, the immersed boundary method by Chaudhuri et al. (J. Comp. Phys. Vol. 230, 1731-1748 (2011)), and the perfectly matched layer together with the dyadic mesh refinement and the Runge-Kutta method. The accuracy of the method is shown to be sufficient for four basic problems: propagation of acoustic waves, aeroacoustic sound generation in a flow past a fixed circular cylinder, in a flow past an oscillating square cylinder, and from a vortex pair passing through a circular cylinder. The results confirm that the developed method can deal with moving bodies and it is accurate not only for viscous flows but also for inviscid flows.

show abstract

Jump‐reduced immersed boundary method for compressible flow

Choung

Saravanan

Lee

2020

Numerical Methods in Fluids

View full text Add to dashboard Cite

SummaryThe main challenge of the immersed boundary approach is the proper enforcement of boundary conditions on the body interface without any spurious oscillations, which are induced by the nongrid‐conforming boundary configuration. In this study, a new sharp interface ghost‐cell immersed boundary method (IBM) is proposed for obtaining solutions near the immersed boundary with a high order of accuracy. The main idea is “jump‐reduction” instead of jump‐correction across the boundary interface by combining the ghost‐cell method with the flow reconstruction method. In the proposed IBM, the unknown values at the three points, that is, boundary points, ghost cell, and flow field reconstruction point are solved simultaneously using equations formulated by the moving least‐squares interpolation method. It is a hybrid of ghost‐cell and flow reconstruction methods, correlated with interface values, which result in a reduced jump‐discontinuity. In addition, a discontinuity‐distinguishing algorithm is introduced so that the low‐order method is applied only to the discontinuous or non smooth region, while the current high‐order method is applied elsewhere. Reduced jump‐discontinuity of the proposed IBM has been verified in both subsonic and supersonic flow using fundamental benchmark problems. We observed that the reduced jump‐discontinuity does not hamper the mass conservation and shows even better conservation property than conventional methods due to the nonoscillatory performance in smooth regions. The numerical results further confirm the ability of the proposed IBM to solve complex flow physics with high‐order accuracy and improved stability.

show abstract

High‐order ghost‐point immersed boundary method for viscous compressible flows based on summation‐by‐parts operators

Cited by 19 publications

References 55 publications

High Order Immersed Boundary Method for Fluid-Structure Interaction of Viscous Compressible Flowwith a Rigid Body

High Order Immersed Boundary Method for Fluid-Structure Interaction of Viscous Compressible Flowwith a Rigid Body

Assessment of immersed boundary method as a tool for direct numerical simulation of aeroacoustic sound

Jump‐reduced immersed boundary method for compressible flow

Contact Info

Product

Resources

About