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| Implicit least squares isogeometric method for unsteady flow |
| Received:June 18, 2014 Revised:September 15, 2014 |
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| DOI：10.7511/jslx201505010 |
| KeyWord:unsteady flow Navier-Stokes equations least squares isogeometric method implicit difference scheme lid driven cavity flow |
| Author | Institution |
| 陈德祥 |
西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 |
| 刘帅 |
西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 |
| 徐自力 |
西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 |
| 胡哺松 |
中国长江动力集团 武汉汽轮发电机有限公司, 武汉 |
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| Abstract: |
| An implicit least squares isogeometric method is proposed for unsteady viscous incompressible flow.The governing Navier-Stokes equations are firstly discretized implicitly in time by multi-step backward difference formulae,then linearized by the Newton method.Least squares isogeometric method is used to solve the linearized equations at each time step.A program was developed based on the proposed method.The program was verified using the method of manufactured solution,then used to solve unsteady 2D lid driven cavity flow at Re=5000.The evolution of vortices was resolved in the numerical results which implied the applicability of presented method for unsteady flow. |