The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
Applied Numerical Mathematics
Journal of Computational Physics
Tera-Scalable Algorithms for Variable-Density Elliptic Hydrodynamics with Spectral Accuracy
SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing
Leveraging non-blocking collective communication in high-performance applications
Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures
Computer Science - Research and Development
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A highly scalable simulation code for turbulent flows which solves the fully compressible Navier-Stokes equations is presented. The code, which supports one, two and three dimensional domain decompositions is shown to scale well on up to 262,144 cores. Introducing multiple levels of parallelism based on distributed message passing and shared-memory paradigms results in a reduction of up to 33% of communication time at large core counts. The code has been used to generate a large database of homogeneous isotropic turbulence in a stationary state created by forcing the largest scales in the flow. The scaling of spectra of velocity and density fluctuations are presented. While the former follow classical theories strictly valid for incompressible flows, the latter presents a more complicated behavior. Fluctuations in velocity gradients and derived quantities exhibit extreme though rare fluctuations, a phenomenon known as intermittency. The simulations presented provide data to disentangle Reynolds and Mach number effects.