Spectral method for the numerical solution of the three-dimensional hydrodynamic equations for tides and surges

1980 ◽  
pp. 75-90 ◽  
Author(s):  
N. S. Heaps
Keyword(s):  
Numerical Solution ◽  
Spectral Method ◽  
Three Dimensional ◽  
Hydrodynamic Equations

scholarly journals Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization

2018 ◽  
Vol 63 ◽  
pp. 280-289
Author(s):  
Yoichi Sawamura ◽  
Katsunori Yoshimatsu ◽  
Kai Schneider
Keyword(s):  
Numerical Solution ◽  
Spectral Method ◽  
Three Dimensional ◽  
Turbulent Channel Flow ◽  
Navier Stokes ◽  
Penalization Method ◽  
Constant Flow Rate ◽  
Slip Boundary ◽  
Wall Bounded Flows ◽  
Volume Penalization Method

The volume penalization method, which allows to impose no-slip boundary conditions, is assessed for wall-bounded flows. For the numerical solution of the penalized equations a spectral method is used. Considering a two-dimensional Poiseuille flow, the solution of the Navier-Stokes penalized equation is computed analytically and the convergence of the numerical solution is studied. To illustrate the properties of the approach we compute a three-dimensional turbulent channel flow imposing a constant flow rate. The obtained results are compared with reference data of Kim et al. [10].

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