Figure 9 - uploaded by Mohamed Mahdi Tekitek
Content may be subject to copyright.
Download
View publication
Two-dimensional wave with wave vector k = 2π (1, 1). Initial condition.

Two-dimensional wave with wave vector k = 2π (1, 1). Initial condition.

Source publication
Figure 1: Particle distribution f j for 0 ≤ j ≤ 8 of the D2Q9 lattice...
Figure 2: Two-dimensional heat equation (12), κ = 1 18 . D2Q9 scheme...
Table 3 .
Figure 4: Two-dimensional heat equation (12), κ = 1 18
+14 Figure 5: Two-dimensional heat equation (12), κ = 1 18 . D2Q9 lattice...
Unexpected convergence of lattice Boltzmann schemes
Article
Full-text available
  • Aug 2020
In this work, we study numerically the convergence of the scalar D2Q9 lattice Boltzmann scheme with multiple relaxation times when the time step is proportional to the space step and tends to zero. We do this by a combination of theory and numerical experiment. The classical formal analysis when all the relaxation parameters are fixed and the time...
Cite
Download full-text

Contexts in source publication

Context 1
... this case, the damped acoustic model (38) exhibits a non-propagative mode. The initial condition is presented in Figure 9. The autocorrelation of density ...
Context 2
... this case, the damped acoustic model (38) exhibits a non-propagative mode. The initial condition is presented in Figure 9. The autocorrelation of density ...

Similar publications

a Axial stress (red) and axial strain (black) vs time plot for...
Density plot for DC, CLVD and ISO evolution throughout the testing in a...
Distribution of the corner frequency (f0)\documentclass[12pt]{minimal}...
Relationship between M0\documentclass[12pt]{minimal}...
+12 Relationship between stress drop (Δσ)\documentclass[12pt]{minimal}...
Energy Budget of Brittle Fracturing in Granite Under Stress Relaxation and Creep
Article
Full-text available
  • Oct 2023
Creep and relaxation are the two major time-dependent fracturing processes in rocks. While a considerable amount of research has been done in understanding these two mechanisms, critical gaps remain regarding how different energy components evolve during time-dependent fracturing processes in rocks. In this study, a series of relaxation and creep e...
View

Citations

... In consequence, industrial applications at high Reynolds number are used in automotive industry [20] since 20 years and are in development for transonic aerodynamics [21]. Nevertheless, we have reported in [22,23] an unexpected convergence previously observed in [17] for the heat equation when the time and space steps tend to zero with a fixed ratio λ ≡ ∆x ∆t . The thermal diffusion coefficient evaluated with the Taylor expansion method µ ≃ 1 s − 1 2 λ ∆x remains constant and ∆x tends to zero. ...
View