Implicit-explicit, realizability-preserving first-order scheme for moment models with Lipschitz-continuous source terms
نویسنده
چکیده
We derive an implicit-explicit (IMEX), realizability-preserving first-order scheme for moment models with Lipschitz-continuous source terms. In contrast to the fully-explicit schemes in [3, 42] the time step does not depend on the physical parameters, removing the stiffness from the system. Furthermore, a wider class of collision operators (e.g. the Laplace-Beltrami operator) can be used. The derived scheme is applied to minimum-entropy models.
منابع مشابه
The Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates
In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...
متن کاملA Simple Explicit Guidance Scheme Based on Velocities-to-be-Gained.
In this paper, a closedloop strategy in the vertical plane is derived in order to determine the thrust direction of a launch vehicle in terms of velocitiestobe gained The two velocities-to-be-gained are utilized, here, for a given altitude and zero vertical speed in a specied nal time The formulation is obtained for constant gravity assumption, but it works when the velocitiesto-be-gained are o...
متن کاملA new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
In this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of TVD (total variation diminishing) of the solution, is proposed. This scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. Schemes preserving the essential physical property of TVD are of great importance in practice. Such s...
متن کاملThe Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates
In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...
متن کاملRealizable high-order finite-volume schemes for quadrature-based moment methods applied to diffusion population balance equations
Dilute gas–particle flows can be described by a kinetic equation containing terms for spatial transport, gravity, fluid drag and particle–particle collisions. However, direct numerical solution of kinetic equations is often infeasible because of the large number of independent variables. An alternative is to reformulate the problem in terms of the moments of the velocity distribution. Recently,...
متن کامل