نتایج جستجو برای: time splitting scheme

تعداد نتایج: 2083144  

Journal: :International Journal of Automotive and Mechanical Engineering 2014

2004
M A Singer S B Pope

We develop and demonstrate a computationally efficient numerical splitting technique for solving the reaction–diffusion equation. The scheme is based on the Strang splitting technique wherein the portions of the governing equations containing stiff chemical reaction terms are separated from those parts containing the less-stiff transport terms. As demonstrated, the scheme achieves second-order ...

Journal: :CoRR 2016
Alexandr E. Kolesov Petr N. Vabishchevich

We consider unsteady poroelasticity problem in fractured porous medium within the classical Barenblatt double-porosity model. For numerical solution of doubleporosity poroelasticity problems we construct splitting schemes with respect to physical processes, where transition to a new time level is associated with solving separate problem for the displacements and fluid pressures in pores and fra...

2017
Stéphane Descombes Mechthild Thalhammer

In this paper, we are concerned with the derivation of a local error representation for exponential operator splitting methods when applied to evolutionary problems that involve critical parameters. Employing an abstract formulation of differential equations on function spaces, our framework includes Schrödinger equations in the semi-classical regime as well as parabolic initial-boundary value ...

Journal: :Mathematics and Computers in Simulation 2005
Matthew J. Simpson Kerry A. Landman T. Prabhakar Clement

A non-traditional operator split (OS) scheme for the solution of the advection-diffusion-reaction (ADR) equation is proposed. The scheme is implemented with the recently published central scheme [A. Kurganov, E. Tadmor, New high-resolution central schemes for non-linear conservation laws and convection-diffusion equations, J. Comput. Phys. 160 (2000) 241–282] to accurately simulate advection-re...

2005
WILLIAM C. SKAMAROCK

General positive-definite and monotonic limiters are described for use with unrestricted-Courant-number flux-form transport schemes. These limiters are tested using a time-split multidimensional transport scheme. The importance of minimizing the splitting errors associated with the time-split operator and of the consistency between the transport scheme and the discrete continuity equation is de...

Journal: :Appl. Math. Lett. 2009
Giovanna Guidoboni Roland Glowinski Nicola Cavallini Suncica Canic Sergey Lapin

We present a new time-splitting scheme for the numerical simulation of fluid-structure interaction between blood flow and vascular walls. This scheme deals in a successful way with the problem of the added mass effect. The scheme is modular and it embodies the stability properties of implicit schemes at the low computational cost of loosely coupled ones.

Journal: :CoRR 2014
Petr N. Vabishchevich Petr E. Zakharov

Domain decomposition (DD) methods for solving time-dependent problems can be classified by (i) the method of domain decomposition used, (ii) the choice of decomposition operators (exchange of boundary conditions), and (iii) the splitting scheme employed. To construct homogeneous numerical algorithms, overlapping subdomain methods are preferable. Domain decomposition is associated with the corre...

2007
P. J. F. Berkvens M. A. Botchev J. G. Verwer

Reaction-Advection-Diffusion problems occurring in Air Pollution Models have very stiff reaction terms and moderately stiff vertical mixing (diffusion and cloud transport) terms which both should be integrated implicitly in time. Standard implicit time stepping is by far too expensive for this type of problems whereas widely used splitting techniques may lead to unacceptably large errors for fa...

Journal: :Inf. Syst. 1994
Yannis Manolopoulos Nikos A. Lorentzos

Linear hashing is one of the most attractive dynamic hashing schemes. Linear hashing with partial expansions and linear hashing with priority splitting are two variations with improved space and time performance. Here, we propose a new structure, which is termed linear hashing with partial expansions and priority splitting. The above four structures are compared by simulation and it is shown th...

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