SelectedWorks - Iuliana Stanculescu

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Selected Works of Iuliana Stanculescu

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Associate Professor, Department of Mathematics

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My research interests span modeling, analysis, and simulations and include numerical analysis of partial differential equations, computational fluid dynamics and large eddy simulation of turbulent flows.

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About Iuliana Stanculescu

My research interests span modeling, analysis, and simulations and include numerical analysis of partial differential equations, computational fluid dynamics and large eddy simulation of turbulent flows.

Positions

Present	Associate Professor, Nova Southeastern University ‐ Halmos College of Arts and Sciences - Department of Mathematics
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Disciplines

Physical Sciences and Mathematics, Mathematics, and Analysis

Research Interests

numerical analysis, partial differential equations, analysis, computational fluid dynamics, turbulence models, large eddy simulations, and mathematical theory of large eddy simulations

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Professional Service and Affiliations

2002 - 2017

Member, American Mathematical Society

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Courses

College Algebra
Precalculus
Advance Calculus II
Advance Calculus I
Linear Algebra
Calculus II
Calculus I
Ordinary Differential Equations
Partial Differential Equations

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2008	Ph.D., Mathematics, University of Pittsburgh
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2002	M.S., Mathematics, University of Craiova
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2000	B.S., Mathematics, University of Craiova
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Contact Information

(954) 262-7994

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Articles
Books and Book Contributions
Presentations

Articles (7)

Journal articles written or co-written by Dr. Iuliana Stanculescu

Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation (Iuliana Stanculescu, R. Ingram, N Mays, et al.) Advances in Numerical Analysis (2012)

We present a general theory for regularization models of the Navier-Stokes equations based on the Leray deconvolution model with a general deconvolution operator designed to fit a few important key properties. We provide examples of ...

Theory of the NS-omega Model (Iuliana Stanculescu, William Layton and Catalin Trenchea) Communications on Pure and Applied Analysis (2011)

We study a recent regularization of the Navier-Stokes equations, the NS-ω model. This model has similarities to the NS-α model, but its structure is more amenable to be used as a basis for numerical simulations ...

Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion (Iuliana Stanculescu and Carolina C. Manica) Computers & Mathematics with Applications (2010)

This report develops and studies a new family of Navier–Stokes equation regularizations: Leray–Tikhonov regularizations with time relaxation models. This new family of turbulence models is based on a modification (consistent with the large scales) of ...

Chebyshev Optimized Approximate Deconvolution Models of Turbulence (Iuliana Stanculescu and William Layton) Applied Mathematics and Computation (2009)

If the Navier–Stokes equations are averaged with a local, spacial convolution type filter,ϕ¯¯¯=gδ∗ϕ, the resulting system is not closed due to the filtered nonlinear termuu¯¯¯¯. An approximate deconvolution operator DD is a bounded linear operator ...

Dual-Mixed Approximation Method for a Three-Field Model of a Nonlinear Generalized Stokes Problem (Vincent J. Ervin, Jason S. Howell and Iuliana Stanculescu) Computer Methods in Applied Mechanics and Engineering (2008)

In this work a dual-mixed approximation of a nonlinear generalized Stokes problem is studied. The problem is analyzed in Sobolev spaces which arise naturally in the problem formulation. Existence and uniqueness results are given and ...

Existence Theory of Abstract Approximate Deconvolution Models of Turbulence (Iuliana Stanculescu) Annali dell'Universita' di Ferrara (2008)

This report studies an abstract approach to modeling the motion of large eddies in a turbulent flow.

K-41 Optimized Approximate Deconvolution Models (William Layton and Iuliana Stanculescu) International Journal of Computing Science and Mathematics (2007)

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ ∗ φ , the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution ...

Books and Book Contributions (1)

Book and book contributions written or co-written by Dr. Iuliana Stanculescu

Architecture of Approximate Deconvolution Models of Turbulence (A. Labovschii, W. Layton, C. Manica, et al.) Mathematics Faculty Books and Book Chapters (2008)

This report presents the mathematical foundation of approximate deconvolution LES models together with the model phenomenology downstream of the theory. This mathematical foundation now begins to be complete for the incompressible Navier–Stokes equations. It is ...

Presentations (7)

Conference presentations, proceedings, lectures, and symposia given by Dr. Iuliana Stanculescu

New Models, Analysis, and Algorithms of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2011)

Approximate Deconvolution Models of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2010)

Leray-Tikhonov Deconvolution Models of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2009)

Turbulence Modeling as an Ill Posed Problem (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2009)

New Models, Analysis, and Algorithms of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2008)

FEM Test of Optimized Approximate Deconvolution Models of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2006)

Numerical Analysis of Approximate Deconvolution Models of Turbulence (Iuliana Stanculescu) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2006)

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