Results 121 to 130 of about 2,087 (169)

Implicit kinetic schemes for the Euler equations

International Journal for Numerical Methods in Fluids, 2003
AbstractRecently, the kinetic schemes, namely the kinetic flux‐vector split (KFVS) scheme and kinetic wave/ particle split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time‐explicit formulation.
Reksoprodjo, H. S. R., Agarwal, R. K.
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Implicit conservative schemes for the Euler equations

AIAA Journal, 1986
Summary: A new approach to a characteristic modeling scheme is presented that does not require the governing equations to be written in characteristic variables or the flux terms to be split into positive and negative parts. The method is based on the observation that, for certain finite volume schemes, the upwind influence can be accounted for through
Wornom, Stephen F., Hafez, Mahamed M.
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Implicit Euler scheme for an abstract evolution inequality

Differential Equations, 2011
For a triple {V, H, V*} of Hilbert spaces, we consider an evolution inclusion of the form u′(t)+A(t)u(t)+δφ{symbol}(t, u(t)) ∋f(t), u(0) = u0, t ∈ (0, T ], where A(t) and φ{symbol}(t, ·), t ∈ [0, T], are a family of nonlinear operators from V to V * and a family of convex lower semicontinuous functionals with common effective domain D(φ{symbol}) ⊂ V ...
Dautov R., Mikheeva A.
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Coarse grid correction scheme for implicit multiblock Euler calculations

AIAA Journal, 1995
Summary: A coarse grid correction scheme is used to bring global influence to implicit multiblock calculations. Compared to using only explicit coupling between the blocks, a considerable reduction in the number of time steps needed to reach steady state has been observed for transonic and subsonic flows.
Jenssen, Carl B., Weinerfelt, Per Å.
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Euler equations - Implicit schemes and boundary conditions

AIAA Journal, 1983
Implicit boundary condition procedures are presented for use with implicit finite difference schemes for the unsteady Euler equations. This new boundary point treatment is based on the mathematical theory of characteristics for hyperbolic systems of equations.
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Multigrid solution of the Euler equations using implicit schemes

AIAA Journal, 1985
On utilise une methode multigrille du type factorisation approchee couplee a un schema de direction alternee implicite pour resoudre les equations d'Euler pour l'ecoulement transsonique sur un profil aerodynamique.
A. JAMESON, S. YOON
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Implicit schemes for unsteady Euler equations on triangular meshes

International Journal for Numerical Methods in Fluids, 1994
AbstractAn implicit finite element method is presented for the solution of steady and unsteady inviscid compressible flows on triangular meshes under transonic conditions. The method involves a first‐order time‐stepping scheme with a finite element discretization that reduces to central differencing on a rectangular mesh.
Sens, A. S., Mortchelewicz, G. D.
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Asymptotic Error Expansions for Stiff Equations: The Implicit Euler Scheme

SIAM Journal on Numerical Analysis, 1990
This paper discusses the existence of an asymptotic expansion for the global error of the implicit Euler scheme applied to stiff nonlinear systems of ordinary differential equations. It is shown that in strongly stiff situations, a full asymptotic expansion exists at all gridpoints.
W. Auzinger, R. Frank, F. Macsek
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Implicit finite element schemes for the stationary compressible Euler equations

International Journal for Numerical Methods in Fluids, 2011
SUMMARYA semi‐implicit finite element scheme and a Newton‐like solver are developed for the stationary compressible Euler equations. Since the Galerkin discretization of the inviscid fluxes is potentially oscillatory and unstable, the troublesome antidiffusive part is constrained within the framework of algebraic flux correction.
Gurris, Marcel, Kuzmin, Dmitri, Turek, Stefan   +2 more
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Higher-order implicit shock-capturing scheme based on linearization of implicit fluxes for the Euler equations

International Journal of Numerical Methods for Heat & Fluid Flow, 2023
Purpose A higher-order implicit shock-capturing scheme is presented for the Euler equations based on time linearization of the implicit flux vector rather than the residual vector. Design/methodology/approach The flux vector is linearized through a truncated Taylor-series expansion whose leading-order implicit term is an inner product of the flux ...
Roshith Mittakolu, Sarma L. Rani, Dilip Srinivas Sundaram   +2 more
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