| Title:
|
Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates (English) |
| Author:
|
Kalis, H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
165-174 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived. (English) |
| Keyword:
|
finite-difference hydrodynamics |
| MSC:
|
65M06 |
| MSC:
|
76D05 |
| MSC:
|
76E99 |
| MSC:
|
76M20 |
| idZBL:
|
Zbl 0783.76060 |
| idMR:
|
MR1240214 |
| . |
| Date available:
|
2009-01-08T18:02:08Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118566 |
| . |
| Reference:
|
[1] Doolan E.P., Miller J.J.H., Schilders W.H.A.: Uniform Numerical Methods for Problems with Initial and Boundary Layers.Dublin, 1980. Zbl 0527.65058, MR 0610605 |
| Reference:
|
[2] Allen D.N., Southwell R.V.: Relaxation methods to determine the motion in two dimensions of viscous fluid past a fixed cylinder.Quart. J. Mech. and Appl. Math. VIII (1955), 129-145. MR 0070367 |
| Reference:
|
[3] Buleev N.Y.: Three Dimensional Model of Turbulent Exchange (in Russian).Moscow, Nauka, 1989. MR 1007137 |
| Reference:
|
[4] Samarsky A.A.: Theory of Difference Schemes (in Russian).Moscow, Nauka, 1977. MR 0483271 |
| Reference:
|
[5] Milne L.M., Thomson C.B.E.: Theoretical Hydrodynamics.London-New York, 1960. Zbl 0164.55802, MR 0112435 |
| Reference:
|
[6] Kochin N.E.: Vector Calculus and the Introduction to Tensor Calculus (in Russian).Moscow, Nauka, 1965. |
| Reference:
|
[7] Angot A.: Complements des mathématiques. A l'usage des ingenieurs de l'electrotechnique et des telecommunications.Paris, 1957. |
| Reference:
|
[8] Kalis H.: Special difference schemes for solving boundary value problems of mathematical physics (in Russian).J. Electronical Modelling, Vol. 8, No. 3, Kiev, 1986, pp. 78-83. |
| Reference:
|
[9] Kalis H.: Some special schemes for solving boundary value problems of hydrodynamics and magneto-hydrodynamics in a wide range of changing parameters.Latvia Mathematical Annual, Vol. 31, Riga, 1988, pp. 160-166. MR 0942126 |
| Reference:
|
[10] Gantmacher J.R.: Theory of Matrices (in Russian).Moscow, Nauka, 1967. |
| Reference:
|
[11] Ilhyn A.M.: Difference scheme for differential equations with small parameter at highest derivative (in Russian).Mathematical Notes 6 (1969), 234-248. |
| . |
