Grid convergence solution computation system

Details Grid convergence solution computation system Grid convergence solution computation system

2006-06-27

2006-06-27

Phan, Thai (Department: 2128)

Data processing: structural design, modeling, simulation, and em

Modeling by mathematical expression

C703S009000, C702S012000, C345S418000

Reexamination Certificate

active

07069199

ABSTRACT:
A grid convergence solution computation system computes a computed value (Ahigh) Of high-order accuracy, using a single grid, computes a computed value (Alow) of low-order accuracy, using the same single grid, and computes a grid convergence solution based on the relation between the computed value (Ahigh) of high-order accuracy and the computed value (Alow) of low-order accuracy on an assumption that the relation between the computed value (Ahigh) of high-order accuracy, the computed value (Alow) of low-order accuracy, and the grid convergence solution (Aconv) is substantially constant regardless of fineness or coarseness of the grid. The grid convergence solution computation system computes a highly accurate grid convergence solution (Aconv) by using small computational complexity.

REFERENCES:
patent: 4809202 (1989-02-01), Wolfram
patent: 4843563 (1989-06-01), Takahashi et al.
patent: 4969116 (1990-11-01), Wada et al.
patent: 5729451 (1998-03-01), Gibbs et al.
patent: 5801969 (1998-09-01), Nagahama
patent: 5923329 (1999-07-01), Beale
patent: 6138076 (2000-10-01), Graf et al.
patent: 6356860 (2002-03-01), Barnette
“FORTRAN77 Numerical Computation Programming”, pp. 12-17, Dec. 5, 1991.
De Sterck, H. et al., “Stationary Two-Dimensional Magnetohydrodynamic Flows with Shocks: Characteristic Analysis and Grid Convergence Study,” Journal of Computational Physics 166, 28-62 (2001), pp. 28-62, XP-002322734.
Roache, P. J., “Perspective: A Method for Uniform Reporting of Grid Refinement Studies,” Journal of Fluids Engineering, Sep. 1994, vol. 116, pp. 405-413, XP008044971.
Zhang, X. D. et al., “Numerical Assessment of Error Estimators for Euler Equations,” AIAA Journal, vol. 39, Sep. 2001, pp. 1706-1715, XP008044968.
Zingg, D. W. et al., “Comparison of Several Spatial Discretizations for the Navier-Stokes Equations,” Journal of Computational Physics 160, 683-704 (2000), pp. 683-704, XP-002322735.

Affiliated with

Also associated with

Rating

Grid convergence solution computation system does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Grid convergence solution computation system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grid convergence solution computation system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-3692705