A three-dimensional incompressible Navier-Stokes flow solver using primitive variables

Kwak, Dochan; Chang, J. L. C.; Shanks, S. P.; Chakravarthy, Sukumar

doi:10.2514/3.9279

Cited by 238 publications

(82 citation statements)

References 14 publications

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“…Various applications that evolved from the artificial compressibility concept have been reported for obtaining steady-state solutions (e.g., Kwak et al [27], Chang et al [28], Choi and Merkle [29]). To obtain timedependent solutions using this method, an iterative procedure can be applied in each physical time step such that the continuity equation is satisfied.…”

Section: Artificial Compressibility Methodsmentioning

confidence: 99%

Computational challenges of viscous incompressible flows

2005

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Over the past thirty years, numerical methods and simulation tools for incompressible flows have been advanced as a subset of the computational fluid dynamics (CFD) discipline. Although incompressible flows are encountered in many areas of engineering, simulation of compressible flow has been the major driver for developing computational algorithms and tools. This is probably due to the rather stringent requirements for predicting aerodynamic performance characteristics of flight vehicles, while flow devices involving low-speed or incompressible flow could be reasonably well designed without resorting to accurate numerical simulations. As flow devices are required to be more sophisticated and highly erXcienf CFD took become increasingly important in fluid engineering for incompressible and low-speed flow. This paper reviews some of the successes made possible by advances in computational technologies dunng the same period, ana discusses some of &e current challenges faced in computing incompressible flows.

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Section: Artificial Compressibility Methodsmentioning

confidence: 99%

Computational challenges of viscous incompressible flows

2005

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“…The details of the artificial compressibility method and numerical algorithm for three-dimensional steady incompressible viscous flow are given by Kwak et al 9 Only the major features as applied to the interior obstacles will be described in detail here.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Although several three-dimensional codes are developed for compressible flows (e.g., Refs. 1 and 2), very few solution codes are presently available for the 9 Although not time accurate, the method of artificial compressibility generates a hyperbolic system of equations in primitive variables that can be solved conveniently for steady flows in generalized curvilinear coordinates. Kwak et al 9 have recently developed a Navier-Stokes code, INS3D, to solve incompressible flow equations using this method.…”

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confidence: 99%

Three-dimensional Navier-Stokes simulation of Space Shuttle Main Propulsion 17-inch disconnect valves

Kandula¹,

Pearce²

1991

Journal of Propulsion and Power

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“…With these new capabilities, CFD has become an essential part of aerospace research and design. For example, the incompressible flow solver developed by Kwak et ai [1]was extensively used for simulating the flow through space shuttle main engine power head components. The redesign of the space shuttle main engine hot gas manifold, guided by the computations of Chang et al [2] illustrates the nsefullness of CFD in the aerospace research.…”

Section: Introductionmentioning

confidence: 99%

Computation of incompressible viscous flows through artificial heart devices with moving boundaries

Kiris

Rogers²,

Kwak³

et al. 1993

Fluid Dynamics in Biology

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The current work illustrates the extension of computational fluid dynamics techniques to artificial heart flow simulation. Unsteady incompressible Navier-Stokes equations written in three-dimensional generalized curvilinear coordinates are solved iteratively at each physical time step until the incompressibility condition is satisfied. The solution method is based on the pseudo-compressibility approach and uses an impllcit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The efficiency and robustness of the time-accurate formulation of the numerical algorithm are tested by computing the flow through model geometries. A channel flow with a moving indentation is computed and validated with experimental measurements and other numerical solutions. In order to handle the geometric complexity and the moving boundary problems, a zonal method and an overlapped grid embedding scheme are employed, respectively. Steady-state solutions for the flow through a tilting-disk heart valve are compared against experimental measurements. Good agreement is obtained. The flow computation during the valve opening and closing is carried out to illustrate the moving boundary capability. Aided by experimental evidence, the flow through an entire Penn State artificial heart model is computed.

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A three-dimensional incompressible Navier-Stokes flow solver using primitive variables

Cited by 238 publications

References 14 publications

Computational challenges of viscous incompressible flows

Computational challenges of viscous incompressible flows

Three-dimensional Navier-Stokes simulation of Space Shuttle Main Propulsion 17-inch disconnect valves

Computation of incompressible viscous flows through artificial heart devices with moving boundaries

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