Spectral element methods for the incompressible Navier-Stokes equationsSpectral element methods are high-order weighted-residual techniques for partial differential equations that combine the geometric flexibility of finite element techniques with the rapid convergence rate of spectral schemes. The theoretical foundations and numerical implementation of spectral element methods for the incompressible Navier-Stokes equations are presented, considering the construction and analysis of optimal-order spectral element discretizations for elliptic and saddle (Stokes) problems, as well as the efficient solution of the resulting discrete equations by rapidly convergent tensor-product-based iterative procedures. Several examples of spectral element simulation of moderate Reynolds number unsteady flow in complex geometry are presented.
Document ID
19900060124
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Maday, Yvon (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Patera, Anthony T. (MIT Cambridge, MA, United States)