نتایج جستجو برای: flux limiter
تعداد نتایج: 109343 فیلتر نتایج به سال:
Many second order accurate non-oscillatory schemes are based on the Minmod limiter, for example the Nessyahu-Tadmor scheme. It is well known that the Lperror of monotone finite difference methods for the linear advection equation is of order 1/2 for initial data in W (Lp), 1 ≤ p ≤ ∞, see [2]. For a second or higher order non-oscillatory schemes very little is known because they are nonlinear ev...
Fuel retention, a crucial issue for next step devices, is assessed in present tokamaks using two methods : particle balance performed during shots and post mortem analysis carried out during shutdowns between experimental campaigns. Post mortem analysis generally gives lower estimates of fuel retention than particle balance. In order to understand the discrepancy between these two methods, a de...
We analyze a general concept of limiters for a high order DG scheme written for a 1-D problem. The limiters, which are local and do not require extended stencils, are incorporated into the solution reconstruction in order to meet the requirement of monotonicity and avoid spurious solution overshoots. A limiter β will be defined based on the solution jumps at grid interfaces. It will be shown th...
The shallow water equations model flows in rivers and coastal areas and have wide applications in ocean, hydraulic engineering, and atmospheric modeling. In [36], the authors constructed high order discontinuous Galerkin methods for the shallow water equations which can maintain the still water steady state exactly, and at the same time can preserve the nonnegativity of the water height without...
In this paper we present a new method for dating the surface of the Moon, obtained by modeling the incoming flux of impactors and converting it into a size distribution of resulting craters. We compare the results from this model with the standard chronology for the Moon showing their similarities and discrepancies. In particular, we find indications of a non-constant impactor flux in the last ...
In this paper we study the well-posedness for a scalar conservation law in which the flux term is non-local in space. This equation represents a reduced model for slow erosion in granular flow ([1, 6]), and describes roughly the evolution of a profile of stationary matter, under the effect of a thin moving layer of granular matter on the top of it. We show that the present equation admits weak ...
In this paper, we apply the general method we have presented elsewhere and prove the convergence of a class of explicit and high-order accurate finite difference schemes for scalar nonlinear hyperbolic conservation laws in several space dimensions. We consider schemes constructed—from an £-scheme— by the corrected antidiffusive flux approach. We derive "sharp" entropy inequalities satisfied by ...
In this note we give a description of the implementation of the discontinuous Galerkin finite element discretization of the depth-averaged two-phase flow equations as formulated in Rhebergen et al. [9]. The equations are of hyperbolic type (depending, however, on the parameters required if parameters are chosen such that the equations are not hyperbolic, this code does not work). Furthermore, t...
Multigrid acceleration has been implemented for an upwind ow solver on unstructured meshes. The ow solver is a straightforward implementation of Barth and Jespersen's unstructured scheme, with least-squares linear reconstruction and a directional implementation of Venkatakr-ishnan's limiter. The multigrid scheme itself is designed to work on mesh systems which are not nested, allowing great exi...
[1] Knowledge of the size‐ and composition‐dependent production flux of primary sea spray aerosol (SSA) particles and its dependence on environmental variables is required for modeling cloud microphysical properties and aerosol radiative influences, interpreting measurements of particulate matter in coastal areas and its relation to air quality, and evaluating rates of uptake and reactions of g...
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