Abstract
Two quasi-least-squares finite element schemes based on L 2 inner product are proposed to solve a steady Navier-Stokes equations, coupled to the energy equation by the Boussinesq approximation and augmented by a Coriolis forcing term to account for system rotation. The resulting nonlinear systems are linearized around a characteristic state, resulting in linearized least-squares models that yield algebraic systems with symmetric positive definite coefficient matrices. Existence of solutions are investigated and a priori error estimates are obtained. The performance of the formulation is illustrated by using a direct iteration procedure to treat the nonlinearities and shown theoretical convergent rate for general initial guess.
Original language | English |
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Pages (from-to) | 377-411 |
Number of pages | 35 |
Journal | Numerische Mathematik |
Volume | 104 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2006 |
Externally published | Yes |
Keywords
- Convergence analysis
- Heat transfer
- Quasi-least-squares finite element scheme
- Steady Navier-Stoke equations
- System rotation
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics