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Moreover, the error for the moving mesh is smaller than that for fixed (uniform) mesh.
In addition, the dynamic moving mesh is adopted for air mesh updating based on the deformation of sheet metal.
To simulate the effect of drillpipe rotation on transient cuttings transport in annulus, moving mesh is applied for the flow domain in annulus.
We clarify that moving mesh is generated by following discrete conservation law and mesh intervals are nothing but discrete conserved densities which is a key of self-adaptive moving mesh schemes.
Finally, in (Mocz et al. 2016), a non-staggered version of CT adapted to a moving mesh is compared to the divergence-cleaning Powell scheme (Powell et al. 1999), an improved version of the eight-wave method.
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Both cases, with a uniform mesh and with a moving mesh, are tested.
Existence and uniqueness of the discretised equations using a moving mesh are also established.
The results of both models, with and without moving mesh, are accurate enough to obtain results inside the validation limits proposed by the same regulation.
The finite element discretization of physical PDEs on moving meshes is addressed.
Moving meshes were used to study the transient nature of the physical process.
Since boundary resolved moving meshes are used in the ALE approach, the surface tension, which may be a linear or nonlinear function of surfactant concentration (equation of state), and the Marangoni forces can be incorporated directly into the numerical scheme.
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