In this paper the characteristics of unsteady three-dimensional incompressible flows with heat transfer are obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows are derived from five governing equations (continuity equation, Momentum equations in three directions, and energy equation) and then results ...

Article history: Received 1 January 2013 Received in revised form 9 September 2013 Accepted 6 October 2013 Available online 22 October 2013

In this paper, a pointwise pseudo-metric function on the L-realline is constructed. It is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

In the first part of this work, we introduce a new type of pseudo-random function for which "aggregate queries" over exponential-sized sets can be efficiently answered. We show how to use algebraic properties of underlying classical pseudo random functions, to construct such "aggregate pseudo-random functions" for a number of classes of aggregation queries under cryptographic hardness assumptio...

Particle tracking in large-scale numerical simulations of turbulent flows presents one the major bottlenecks parallel performance and scaling efficiency. Here, we describe a particle algorithm for pseudo-spectral turbulence which scales well up to billions tracer particles on modern high-performance computing architectures. We summarize standard methods used solve fluid equations our hybrid MPI...

Understanding how hydrodynamic behaviour emerges from the unitary evolution of many-particle Schr\"odinger equation is a central goal non-equilibrium statistical mechanics. In this work we implement digital simulation discrete time quantum dynamics spin-$\frac{1}{2}$ XXZ spin chain on noisy near-term device, and extract high temperature transport exponent at isotropic point. We simulate tempora...