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4 papers
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
Qiwei Feng, Bin Han, Peter Minev
The elliptic interface problems with discontinuous and high-contrast coefficients appear in many applications and often lead to huge condition numbers of the corresponding linear s…
Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources
Qiwei Feng, Bin Han, Peter Minev
Let be a smooth curve inside a two-dimensional rectangular region . In this paper, we consider the Poisson interface problem in with Dirichlet…
An efficient algorithm for weakly compressible flows in spherical geometries
Roman Frolov, Peter Minev, Aziz Takhirov
This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitti…
A direction splitting scheme for Navier-Stokes-Boussinesq system in spherical shell geometries
Aziz Takhirov, Roman Frolov, Peter Minev
This paper introduces a formally second-order direction-splitting method for solving the incompressible Navier-Stokes-Boussinesq system in a spherical shell region. The equations a…