Multigrid solution of convection problems with strongly variable viscosity
نویسندگان
چکیده
منابع مشابه
Multigrid iterative algorithm using pseudo-compressibility for three-dimensional mantle convection with strongly variable viscosity
A numerical algorithm for solving mantle convection problems with strongly variable viscosity is presented. Equations for conservation of mass and momentum for highly viscous and incompressible fluids are solved iteratively by a multigrid method in combination with pseudo-compressibility and local time stepping techniques. This algorithm is suitable for large-scale three-dimensional numerical s...
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Stokes equations have been used in numerical simulations of geodynamic processes such as mantle convection , lithospheric deformation and lava flow, etc. In order to implement a solver for these equations, multigrid method is introduced to our solve. Multigrid method is commonly used in reducing the iteration steps for solving the elliptic partial differential equation with the ill-conditioned ...
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The Stokes equations are frequently used to simulate geodynamic processes, including mantle convection, lithospheric dynamics, lava flow, and among others. In this study, the multigrid (MG) method is adopted to solve Stokes and continuity equations with strongly temperature-dependent viscosity. By taking advantage of the enhanced computing power of graphics processing units (GPUs) and the new v...
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The well-known smoothing iterations for scalar elliptic problems can usually not be applied to the Stokesor Navier-Stokes equations. The reason is that the matrices arising from FEor FD-discretizations of saddle-point problems are no longer positive definite. One remedy is to use the squared system. This leads to convergence in the symmetric case, but does not work if there is dominant convecti...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1999
ISSN: 0956-540X,1365-246X
DOI: 10.1046/j.1365-246x.1999.00833.x