A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures

Hayase, Toshiyuki; Humphrey, J. A. C.; Grief, R.

doi:10.1016/0021-9991(92)90177-z

Cited by 545 publications

(100 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The advective terms in Eqs. (2) are discretized using a QUICK third-order scheme whereas a second-order central differencing (Hayase, Humphrey and Greif [19]) is applied in Eq. (3).…”

Section: Numerical Methodology and Algorithm Validationmentioning

confidence: 99%

Three-dimensional Analysis of Mixed Convection in a Differentially Heated Lid-driven Cubic Enclosure

Benkacem¹

2015

J Appl Mech Eng

View full text Add to dashboard Cite

To study the intlicate three-dimensional flow structures and the companion heat transfer rates in a differentially heated lid-driven cubic cavity, a numerical methodology based on the finite volume method and a full multigrid acceleration is utilized in this note. The four remaining walls fowling the cubic cavity are adiabatic. The working fluid is air so the Prandtl number equates to 031. Numerical solutions are generated for representative combinations of the controlling Reynolds number inside 100

show abstract

“…The advective terms in Eqs. (2) are discretized using a QUICK third-order scheme whereas a second-order central differencing (Hayase, Humphrey and Greif [19]) is applied in Eq. (3).…”

Section: Numerical Methodology and Algorithm Validationmentioning

confidence: 99%

Three-dimensional Analysis of Mixed Convection in a Differentially Heated Lid-driven Cubic Enclosure

Benkacem¹

2015

J Appl Mech Eng

View full text Add to dashboard Cite

show abstract

“…(4) and (5), as well as supplementary pressure correction equations and velocity correction procedure in the SIMPLER method, are explained in a reference. 20 In descretization of the convective terms in Navier-Stokes equations, a consistently reformulated QUICK scheme 11 is applied in order to assure continuity of the flux at the interface of control volumes during the iterations. The QUICK scheme is a three-point upstream-weighted quadratic interpolation technique within the context of a control-volume approach.…”

Section: Subject and Computational Methodsmentioning

confidence: 99%

Fundamental Study of Ultrasonic-Measurement-Integrated Simulation of Real Blood Flow in the Aorta

et al. 2005

View full text Add to dashboard Cite

Abstract-Acquisition of detailed information on the velocity and pressure fields of the blood flow is essential to achieve accurate diagnosis or treatment for serious circulatory diseases such as aortic aneurysms. A possible way to obtain such information is integration of numerical simulation and color Doppler ultrasonography in the framework of a flow observer. This methodology, namely, Ultrasonic-Measurement-Integrated (UMI) Simulation, consists of the following processes. At each time step of numerical simulation, the difference between the measurable output signal and the signal indicated by numerical simulation is evaluated. Feedback signals are generated from the difference, and numerical simulation is updated applying the feedback signal to compensate for the difference. This paper deals with a numerical study on the fundamental characteristics of UMI simulation using a simple two-dimensional model problem for the blood flow in an aorta with an aneurysm. The effect of the number of feedback points and the feedback formula are investigated systematically. It is revealed that the result of UMI simulation in the feedback domain rapidly converges to the standard solution, even with usually inevitable incorrect upstream boundary conditions. Finally, an example of UMI simulation with feedback from real color Doppler measurement also shows a good agreement with measurement.

show abstract

“…Centered finite-differences are applied to discretize the remaining derivatives on the right hand sides of Equations (18), (21), (24), (27), and (30). For the convective-diffusive terms on the left hand sides of the equations, either the hybrid scheme [4], central differences, or the QUICK scheme [19] is used (user selectable).…”

Section: General Curvilinear Coordinate Transformationmentioning

confidence: 99%

“…The (n -1) superscript on the one s, term refers to the previous time level; all other terms are evaluated at time level n. The coefficients for hybrid differencing are given in [4] and those for the QUICK scheme are in [19]. The coefficients for the other conservation equations are defined analogously, where, as mentioned earlier, the SIMPLER scheme is used to replace (15) with an equation for p,.…”

Section: Numerical Solutionmentioning

confidence: 99%

CURRENT - A Computer Code for Modeling Two-Dimensional, Chemically Reaccting, Low Mach Number Flows

Winters¹,

Evans²,

Moen³

1996

View full text Add to dashboard Cite

This report documents CURRENT, a computer code for modeling two-dimensional, chemically reacting, low Mach number flows including the effects of surface chemistry. CURRENT is a finite volume code based on the SIMPLER algorithm. Additional convergence acceleration for low Peclet number flows is provided using improved boundary condition coupling and preconditioned gradient methods. Gas-phase and surface chemistry is modeled using the CHEMKIN software libraries. The CURRENT user-interface has been designed to be compatible with the Sandia-developed mesh generator and post processor ANTIPASTO and the post processor TECPLOT. This report describes the theory behind the code and also serves as a user's manual. 314

show abstract

A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures

Cited by 545 publications

References 12 publications

Three-dimensional Analysis of Mixed Convection in a Differentially Heated Lid-driven Cubic Enclosure

Three-dimensional Analysis of Mixed Convection in a Differentially Heated Lid-driven Cubic Enclosure

Fundamental Study of Ultrasonic-Measurement-Integrated Simulation of Real Blood Flow in the Aorta

CURRENT - A Computer Code for Modeling Two-Dimensional, Chemically Reaccting, Low Mach Number Flows

Contact Info

Product

Resources

About