A spectral multidomain technique for the computation of the czochralski melt configuration
From MaRDI portal
Publication:5689581
DOI10.1108/EUM0000000004097zbMath0863.76058OpenAlexW2031034635MaRDI QIDQ5689581
Isabelle Raspo, Jalil Ouazzani, Roger Peyret
Publication date: 7 January 1997
Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/eum0000000004097
Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method. ⋮ A coupled finite‐volume/pseudospectral method ⋮ Direct Multidomain Spectral Method for the Computation of Various Fluid Dynamic Problems ⋮ A divergence-free multidomain spectral solver of the Navier-Stokes equations in geometries of high aspect ratio ⋮ Multi-relaxation-time lattice Boltzmann model for axisymmetric flows ⋮ Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method ⋮ An implicit pseudo-spectral multi-domain method for the simulation of incompressible flows ⋮ Different interface approximations in multi‐domain GDQ simulation of Czochralski bulk flows ⋮ Direct spectral domain decomposition method for 2D incompressible Navier-Stokes equations ⋮ Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions ⋮ A direct spectral domain decomposition method for the computation of rotating flows in a T-shape geometry
Cites Work
- The Chebyshev multidomain approach to stiff problems in fluid mechanics
- Spectral and finite difference solutions of the Burgers equations
- Improvements in spectral collocation discretization through a multiple domain technique
- A spectral multi-domain method for the solution of 1-D-Helmholtz and Stokes-type equations
- On the use of spectral methods for the numerical solution of stiff problems
- On the influence matrix used in the spectral solution of the 2D Stokes problem (vorticity-stream function formulation)
- A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
- Flame computations by a Chebyshev multidomain method
