Staggered grids finite difference
Discrete maximum principle and the Ultraviolet Catastrophe of finite difference schemes on staggered Cartesian grids for heterogeneous and anisotropic diffusion equations
... to Finite Difference schemes on Cartesian grids for the ease of implementation in parallel computing systems, and especially CUDA GPUs, but we will always consider the Finite Volume ...
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Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis
... on staggered grids where the discrete density ρ and the material velocity V are not stored on the same ...on staggered grids for the Shallow-Water system, based on a Finite ...
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Mixed-grid and staggered grid finite difference methods for frequency-domain acoustic wave modelling
... the staggered-grid approach predominates while in FDFD modelling the rotated-grid approach is ...on staggered grids because of the conflicting geometry of the two ...
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Adaptive wavelet-based finite-difference modelling of SH-wave propagation
... time–space finite-difference methods could not be performed ...coupled grids required additional operations or necessary medium convolutions handicaped the ...
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Dynamic rupture simulation of nonplanar faults with a finite difference approach
... associated staggered grid is unique ...new finite-difference approach retains the accuracy of the staggered grid: one must estimate stress derivatives at velocity gridpoints and, conversely, ...
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A posteriori error estimates for combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids
... for finite element discretizations of steady convection–diffusion–reaction problems are those of Angermann [ 2 ] and of Eriksson and John- son [ 9 ...centered finite volume ...
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Finite volume schemes on staggered grids for gas dynamics
... the staggered discretization, the system is not treated “as a whole”, but each equation are updated successively, which makes the numerical analysis completely different, see also [58, 60, ...using ...
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Identifying codes for infinite triangular grids with a finite number of rows
... is denoted by d ∗ (G) . Observe that if G is finite, then d ∗ (G) = |C ∗ |/|V (G)| , where C ∗ is a minimum-size identifying code in G. The problem of finding low-density identifying codes was introduced in [9] in ...
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Identifying codes for infinite triangular grids with a finite number of rows
... The identifier of v by C, denoted by C[v], is the set N [v] ∩ C. Hence a identifying code is a set such that the vertices have non-empty distinct identifiers. Let G be a (finite or infinite) graph with bounded ...
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A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids
... We call the grid D n h introduced in Section 2.1 a primal grid of Ω. In particular we admit non- matching grids, i.e., the case where there exist two different polygons D, E ∈ D n h such that their intersection is ...
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Identifying codes for infinite triangular grids with a finite number of rows
... c’ a’ Figure 1: A symmetry of the triangular grids. If C is an identifying code in S k and σ is an isomorphism of S k , then σ(C) is clearly an identifying code of C with same density as C. Moreover all the ...
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A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain
... in the anisotropy direction at the border of the domain. The paper is organised as follows: in Section 2 the mathematical model related to an elliptic problem is presented, the numerical scheme is detailed in Section 3 ...
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Modelling of semiconductor rib wave guides by a finite difference method
... / La version de cette publication peut être l’une des suivantes : la version prépublication de l’auteur, la version acceptée du manuscrit ou la version de l’éditeur. For the publisher’[r] ...
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Shape sensitivity analysis in flow models using a finite-difference approach
... Φ i xα 0 Δα; α 0 Δα − Φ i xα 0 − Δα; α 0 − Δα 2Δα , 4.1 where α 0 is the parameter value at which the sensitivities are computed and Δα is the step size in the finite-difference scheme. The notation D · ...
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Large scale simulation of turbulence using a hybrid spectral/finite difference solver
... finite-difference stage while preserving the desired accuracy. GRID DEFINITION Using the volumetric decomposition, we gain a degree of freedom in the grid gen- eration. It gives the possibility to use ...
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Analysis of photonic crystal filters by the finite-difference time-domain technique
... hybrid method based on the FD-TD and transfer matrix method is used to analyze the scattering characteristics of multilayer photonic crystal filters and compare th[r] ...
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Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions
... DSC14 ] for recent developments in this direction). This stability property will greatly simplify the final steps of the proof of our main result, which is Theorem 1 below. Relaxing ( 10 ) and ( 11 ) in order to ...
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On some stable boundary closures of finite difference schemes for the transport equation
... showing that A(z) is a contraction, just as the continuous problem ( 2 ). The main goal of analyzing schemes of the form ( 3 ) will be to derive integration by parts decompositions of the form ( 4 ) with S j ≤ 0 for any ...
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The Leray-Gårding method for finite difference schemes. II. Smooth crossing modes
... Hence there is now a genuine hope to extend the definition of E and D to more general domains (by means of sums of local quantities which do not rely on the Fourier transform) and/or to take the energy- dissipation ...
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Borehole Wave Propagation In Isotropic And Anisotropic Media I: Finite Difference Method
... The next wave of applications of the finite difference method came with the progress in absorbing boundary condition research and a new staggered grid scheme.. First the absorbing bounda[r] ...
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