Higher-order method of lines for the numerical simulation of turbulence
A new method is devised for the numerical simulation of turbulences. The spatial derivatives of the time-dependent incompressible Navier-Stokes equations are discretized by using the modified differential quadrature (MDQ) method. The resulting system of ordinary differential equations in time are then integrated by a class of fourth order explicit Runge-Kutta schemes. The simulations of two and three-dimensional homogeneous isotropic turbulence suggest that the present method is more efficient and versatile than the pseudospectral method.
KeywordsSpatial Derivative Burger Equation Pseudospectral Method Vorticity Equation Approximate Relation
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