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The discretization method in space is the finite element method.
These equations are discretized using a cell-centered Finite Volume method in space and an implicit Euler integration in time.
We discretize the equations by using a spectral method in space, and a multistep third-order accurate scheme in time.
Moreover, we show that for a spectral method in space this scheme satisfies Poisson's equation without explicitly solving it.
A Chebyshev-collocation method in space is introduced, which allows an accurate calculation of three-dimensional lid-driven cavity flows.
The FSI system is discretized by a stabilized finite element method in space and a fully implicit backward difference scheme in time.
Similar(21)
The proposed method is based on a finite difference scheme in time and Legendre spectral methods in space.
Primarily, we consider discretisations that are based on spectral methods in space and higher-order exponential operator splitting methods in time.
The Euler equations of gas dynamics is discretized by pseudospectral (collocation) methods in space and a nonlinearly stable third-order Runge-Kutta methods in time.
The Navier Stokes equations and the convection diffusion reaction equations are discretized implicitly in time and with finite element methods in space.
The analysis is also applied to high-order accurate methods in space and time and all analytical results are validated with simple numerical experiments.
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