22 citations · 22 across the 2 of their papers we have counts for
6 papers
Tempered Fractional LES Modeling
Mehdi Samiee, Ali Akhavan-Safaei, Mohsen Zayernouri
The presence of nonlocal interactions and intermittent signals in the homogeneous isotropic turbulence grant multi-point statistical functions a key role in formulating a new gener…
Data-Driven Fractional Subgrid-scale Modeling for Scalar Turbulence: A Nonlocal LES Approach
Ali Akhavan-Safaei, Mehdi Samiee, Mohsen Zayernouri
Filtering the passive scalar transport equation in the large-eddy simulation (LES) of turbulent transport gives rise to the closure term corresponding to the unresolved scalar flux…
A Fractional Subgrid-scale Model for Turbulent Flows: Theoretical Formulation and a Priori Study
Mehdi Samiee, Ali Akhavan-Safaei, Mohsen Zayernouri
Coherent structures/motions in turbulence inherently give rise to intermittent signals with sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting…
Petrov-Galerkin Method for Fully Distributed-Order Fractional Partial Differential Equations
Mehdi Samiee, Ehsan Kharazmi, Mohsen Zayernouri +1
Distributed-order PDEs are tractable mathematical models for complex multiscaling anomalous transport, where derivative orders are distributed over a range of values. We develop a…
A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver
M. Samiee, M. Zayernouri. Mark M. Meerschaert
We develop a unified Petrov-Galerkin spectral method for a class of fractional partial differential equations with two-sided derivatives and constant coefficients of the form $ _{0…
A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
We present the stability and error analysis of the unified Petrov-Galerkin spectral method, developed in \cite{samiee2017Unified}, for linear fractional partial differential equati…