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Time-derivative preconditioning meth...

Housman, Jeffrey Allen.

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Time-derivative preconditioning method for multicomponent flow.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Time-derivative preconditioning method for multicomponent flow./
作者:	Housman, Jeffrey Allen.
面頁冊數:	299 p.
附註:	Adviser: Mohamed Hafez.
Contained By:	Dissertation Abstracts International68-09B.
標題:	Applied Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3282978
ISBN:	9780549252160

Time-derivative preconditioning method for multicomponent flow.
Housman, Jeffrey Allen.

Time-derivative preconditioning method for multicomponent flow. - 299 p.

Adviser: Mohamed Hafez.

Thesis (Ph.D.)--University of California, Davis, 2007.

A time-derivative preconditioned system of equations suitable for the numerical simulation of single component and multicomponent inviscid flows at all speeds is formulated. The system is shown to be hyperbolic in time and remain well-posed at low Mach numbers, allowing an efficient time marching solution strategy to be utilized from transonic to incompressible flow speeds. For multicomponent flow at low speed, a preconditioned nonconservative discretization scheme is described which preserves pressure and velocity equilibrium across fluid interfaces, handles sharp liquid/gas interfaces with large density ratios, while remaining well-conditioned for time marching methods. The method is then extended to transonic and supersonic flows using a hybrid conservative/nonconservative formulation which retains the pressure/velocity equilibrium property and converges to the correct weak solution when shocks are present. In order to apply the proposed model to complex flow applications, the overset grid methodology is used where the equations are transformed to a nonorthogonal curvilinear coordinate system and discretized on structured body-fitted curvilinear grids.

ISBN: 9780549252160Subjects--Topical Terms:

1018410
Applied Mechanics.

Time-derivative preconditioning method for multicomponent flow.
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245 1 0 $a Time-derivative preconditioning method for multicomponent flow.
300 $a 299 p.
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502 $a Thesis (Ph.D.)--University of California, Davis, 2007.
520 $a A time-derivative preconditioned system of equations suitable for the numerical simulation of single component and multicomponent inviscid flows at all speeds is formulated. The system is shown to be hyperbolic in time and remain well-posed at low Mach numbers, allowing an efficient time marching solution strategy to be utilized from transonic to incompressible flow speeds. For multicomponent flow at low speed, a preconditioned nonconservative discretization scheme is described which preserves pressure and velocity equilibrium across fluid interfaces, handles sharp liquid/gas interfaces with large density ratios, while remaining well-conditioned for time marching methods. The method is then extended to transonic and supersonic flows using a hybrid conservative/nonconservative formulation which retains the pressure/velocity equilibrium property and converges to the correct weak solution when shocks are present. In order to apply the proposed model to complex flow applications, the overset grid methodology is used where the equations are transformed to a nonorthogonal curvilinear coordinate system and discretized on structured body-fitted curvilinear grids.
520 $a The multicomponent model and its extension to homogeneous multiphase mixtures is discussed and the hyperbolicity of the governing equations is demonstrated. Low Mach number perturbation analysis is then performed on the system of equations and a local time-derivative preconditioning matrix is derived allowing time marching numerical methods to remain efficient at low speeds. Next, a particular time marching numerical method is presented along with three discretization schemes for the convective terms. These include a conservative preconditioned Roe type method, a nonconservative preconditioned Split Coefficient Matrix (SCM) method, and hybrid formulation which combines the conservative and nonconservative schemes using a simple switching function. A characteristic boundary treatment which includes time-derivative preconditioning as well as an implicit line relaxation procedure including a semi-implicit boundary update procedure is described. For unsteady flow analysis, a dual time stepping framework is also described. Results for single component and multicomponent/multiphase flows are reported to demonstrate the capability of the proposed time-derivative preconditioning methods. The robustness, performance, and accuracy of the nonconservative and hybrid approaches are emphasized, and comparisons between these methods and a conservative approach are discussed.
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