Numerical Simulation of the Slider Air Bearing Problem of Hard Disk Drives by Two Multidimensional Upwind Residual Distribution Schemes over Unstructured Triangular Meshes
In this paper we present two multigrid numerical schemes over unstructured triangular meshes that solve the slider air bearing problem of hard disk drives. For each fixed slider attitude, the air bearing pressure is obtained by solving the generalized Reynolds equation. The convection part of the eq...
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| Published in | Journal of computational physics Vol. 172; no. 2; pp. 640 - 657 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
20.09.2001
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0021-9991 1090-2716 |
| DOI | 10.1006/jcph.2001.6846 |
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| Abstract | In this paper we present two multigrid numerical schemes over unstructured triangular meshes that solve the slider air bearing problem of hard disk drives. For each fixed slider attitude, the air bearing pressure is obtained by solving the generalized Reynolds equation. The convection part of the equation is modeled in one scheme by the PSI multidimensional upwind residual distribution approach and in the other scheme by the SUPG finite element approach cast in residual distribution form. In both schemes, a linear Galerkin method is used to discretize the diffusion terms. In addition, a non-nested multigrid iteration technique is used to speed up the convergence rate. Finally, the balanced steady state flying attitude of the slider subject to pre-applied suspension force and torques is obtained by a Quasi–Newton iteration method (Broyden's method), and the results of the numerical solutions are compared to each other and to experimental data. |
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| AbstractList | In this paper we present two multigrid numerical schemes over unstructured triangular meshes that solve the slider air bearing problem of hard disk drives. For each fixed slider attitude, the air bearing pressure is obtained by solving the generalized Reynolds equation. The convection part of the equation is modeled in one scheme by the PSI multidimensional upwind residual distribution approach and in the other scheme by the SUPG finite element approach cast in residual distribution form. In both schemes, a linear Galerkin method is used to discretize the diffusion terms. In addition, a non-nested multigrid iteration technique is used to speed up the convergence rate. Finally, the balanced steady state flying attitude of the slider subject to pre-applied suspension force and torques is obtained by a Quasi–Newton iteration method (Broyden's method), and the results of the numerical solutions are compared to each other and to experimental data. |
| Author | Bogy, D.B. Wu, Lin |
| Author_xml | – sequence: 1 givenname: Lin surname: Wu fullname: Wu, Lin – sequence: 2 givenname: D.B. surname: Bogy fullname: Bogy, D.B. |
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| Cites_doi | 10.1063/1.869293 10.1016/0141-1195(87)90043-X 10.1115/1.4008375 10.1109/20.800845 10.1115/1.1310371 10.1115/1.3254526 10.1063/1.868377 10.1006/jagm.1995.1021 10.1090/S0025-5718-1977-0431719-X 10.1002/(SICI)1097-0207(19970228)40:4<581::AID-NME45>3.0.CO;2-K |
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| Keywords | rarefied gas flows air bearing hard disk drive residual distribution scheme finite elements mesh generation and refinement unstructured meshes |
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| Title | Numerical Simulation of the Slider Air Bearing Problem of Hard Disk Drives by Two Multidimensional Upwind Residual Distribution Schemes over Unstructured Triangular Meshes |
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