Smoothed particle hydrodynamics （SPH） is a Lagrangian, meshfree particle method and has been widely applied to diffe- rent areas in engineering and science. Since its original extension to modeling free surface flow...Smoothed particle hydrodynamics （SPH） is a Lagrangian, meshfree particle method and has been widely applied to diffe- rent areas in engineering and science. Since its original extension to modeling free surface flows by Monaghan in 1994, SPH has been gradually developed into an attractive approach for modeling viscous incompressible fluid flows. This paper presents an overview on the recent progresses of SPH in modeling viscous incompressible flows in four major aspects which are closely related to the computational accuracy of SPH simulations. The advantages and disadvantages of different SPH particle approximation sche- mes, pressure field solution approaches, solid boundary treatment algorithms and particle adapting algorithms are described and analyzed. Some new perspectives and fuRtre trends in SPH modeling of viscous incompressible flows are discussed.展开更多
In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed fini...In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy. (Author abstract) 8 Refs.展开更多
Results of numerical calcultions for viscous incompressible laminar flow over a rearwardfacing step on circular cylinder are presented. The domainsubdividing and matching method and the simplify SOLA solution are enga...Results of numerical calcultions for viscous incompressible laminar flow over a rearwardfacing step on circular cylinder are presented. The domainsubdividing and matching method and the simplify SOLA solution are engaged in the simulation. The effects of the step’s height,installed position and the Reynolds number on the flow field are obtained and discussed.展开更多
Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique of flux splitting method and the combination of central and upwind schemes are applied...Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique of flux splitting method and the combination of central and upwind schemes are applied to construct the basic function scheme of trigonometric function type for solving three-dimensional incompressible Navier-Stokes equations numerically. To prove the method, flows in finite-length-pipe are calculated, the velocity and pressure distribution of which solved by our method quite coincide with the exact solutions of Poiseuille flow except in the areas of entrance and exit. After the method is proved elementary, the hemodynamics in two-and three-dimensional aneurysms is researched numerically by using the basic function method of trigonometric function type and unstructured grids generation technique. The distributions of velocity, pressure and shear force in steady flow of aneurysms are calculated, and the influence of the shape of the aneurysms on the hemodynamics is studied.展开更多
A parallel numerical method is employed to solve the two dimensional Navier Stokes equations in primitive variables for incompressible flow.The computing process contains two sections.The first section uses the GE (...A parallel numerical method is employed to solve the two dimensional Navier Stokes equations in primitive variables for incompressible flow.The computing process contains two sections.The first section uses the GE (group explicit) method with high parallelism to solve the velocity equations.The second section solves the pressure equation by a successive underrelaxtion iteration method in red black order.Results are given using these methods on a parallel computer.Until recently,GE method has rarely been used to solve the Navier Stokes equations.展开更多
An experimental investigation on the flow past a circular cylinder in the range ofReynolds number 104 to 8 x 104 described in present paper. The results indicated that,as Reynolds number increasing in the sub-critical...An experimental investigation on the flow past a circular cylinder in the range ofReynolds number 104 to 8 x 104 described in present paper. The results indicated that,as Reynolds number increasing in the sub-critical flow, the separated poin*ts and the totaldrag were nearly constant, but the local mean-pressure distributions varied, especially theposition of the minimum local pressure θP min so Pushed forward, that the relationship couldbe shown as:θPmin Re0.05965 = 2.展开更多
基金Project supported by the National Natural Science Foun-dation of China(Grant Nos.11172306,U1530110)the Institu-te of Systems Engineering,China Academy of Engineering Physics(Grant No.2013KJZ01)
文摘Smoothed particle hydrodynamics （SPH） is a Lagrangian, meshfree particle method and has been widely applied to diffe- rent areas in engineering and science. Since its original extension to modeling free surface flows by Monaghan in 1994, SPH has been gradually developed into an attractive approach for modeling viscous incompressible fluid flows. This paper presents an overview on the recent progresses of SPH in modeling viscous incompressible flows in four major aspects which are closely related to the computational accuracy of SPH simulations. The advantages and disadvantages of different SPH particle approximation sche- mes, pressure field solution approaches, solid boundary treatment algorithms and particle adapting algorithms are described and analyzed. Some new perspectives and fuRtre trends in SPH modeling of viscous incompressible flows are discussed.
文摘In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy. (Author abstract) 8 Refs.
文摘Results of numerical calcultions for viscous incompressible laminar flow over a rearwardfacing step on circular cylinder are presented. The domainsubdividing and matching method and the simplify SOLA solution are engaged in the simulation. The effects of the step’s height,installed position and the Reynolds number on the flow field are obtained and discussed.
基金Supported by the National Natural Foundation of China (Grant Nos.40874077,40504020,and 40536029)the National Basic Research Program of China (Grant No.2006CB806304)
文摘Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique of flux splitting method and the combination of central and upwind schemes are applied to construct the basic function scheme of trigonometric function type for solving three-dimensional incompressible Navier-Stokes equations numerically. To prove the method, flows in finite-length-pipe are calculated, the velocity and pressure distribution of which solved by our method quite coincide with the exact solutions of Poiseuille flow except in the areas of entrance and exit. After the method is proved elementary, the hemodynamics in two-and three-dimensional aneurysms is researched numerically by using the basic function method of trigonometric function type and unstructured grids generation technique. The distributions of velocity, pressure and shear force in steady flow of aneurysms are calculated, and the influence of the shape of the aneurysms on the hemodynamics is studied.
基金Supported by the Science and TechnologyFoundation of the Chinese Institute of E-ngineering Physics
文摘A parallel numerical method is employed to solve the two dimensional Navier Stokes equations in primitive variables for incompressible flow.The computing process contains two sections.The first section uses the GE (group explicit) method with high parallelism to solve the velocity equations.The second section solves the pressure equation by a successive underrelaxtion iteration method in red black order.Results are given using these methods on a parallel computer.Until recently,GE method has rarely been used to solve the Navier Stokes equations.
文摘An experimental investigation on the flow past a circular cylinder in the range ofReynolds number 104 to 8 x 104 described in present paper. The results indicated that,as Reynolds number increasing in the sub-critical flow, the separated poin*ts and the totaldrag were nearly constant, but the local mean-pressure distributions varied, especially theposition of the minimum local pressure θP min so Pushed forward, that the relationship couldbe shown as:θPmin Re0.05965 = 2.
