Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Applied Mathematics (4)
- Quantum groups (2)
- Self-similarity (2)
- Wavelets (2)
- 3D water waves (1)
-
- Actuators (1)
- Compact support (1)
- Constrained optimization (1)
- Control design (1)
- Couplings (1)
- Deep-water waves (1)
- Deformation algebra (1)
- Deformations (1)
- Elliptic functions (1)
- Euclidean geometries (1)
- Flow instabilities (1)
- Fluid drag (1)
- Fluid dynamics (1)
- Fourier analysis (1)
- Ideal-gas (1)
- Isothermal atmosphere (1)
- Laminar flows (1)
- Laplace transform (1)
- Lattice Boltzmann methods (1)
- Lattice models (1)
- Linear and nonlinear temperature lapse-rate (1)
- Mass and weight of atmosphere (1)
- NLS (1)
- Nonlinear algebra (1)
- Nonlinear regression (1)
- Publication
- Publication Type
Articles 1 - 9 of 9
Full-Text Articles in Physics
Reduced-Order Dynamic Modeling And Robust Nonlinear Control Of Fluid Flow Velocity Fields, Anu Kossery Jayaprakash, William Mackunis, Vladimir Golubev, Oksana Stalnov
Reduced-Order Dynamic Modeling And Robust Nonlinear Control Of Fluid Flow Velocity Fields, Anu Kossery Jayaprakash, William Mackunis, Vladimir Golubev, Oksana Stalnov
Publications
A robust nonlinear control method is developed for fluid flow velocity tracking, which formally addresses the inherent challenges in practical implementation of closed-loop active flow control systems. A key challenge being addressed here is flow control design to compensate for model parameter variations that can arise from actuator perturbations. The control design is based on a detailed reduced-order model of the actuated flow dynamics, which is rigorously derived to incorporate the inherent time-varying uncertainty in the both the model parameters and the actuator dynamics. To the best of the authors’ knowledge, this is the first robust nonlinear closed-loop active flow …
Global Optimized Isothermal And Nonlinear Models Of Earth’S Standard Atmosphere, Nihad E. Daidzic, Ph.D.,
Global Optimized Isothermal And Nonlinear Models Of Earth’S Standard Atmosphere, Nihad E. Daidzic, Ph.D.,
International Journal of Aviation, Aeronautics, and Aerospace
Both, a global isothermal temperature model and a nonlinear quadratic temperature model of the ISA was developed and presented here. Constrained optimization techniques in conjunction with the least-square-root approximations were used to design best-fit isothermal models for ISA pressure and density changes up to 47 geopotential km for NLPAM, and 86 orthometric km for ISOAM respectively. The mass of the dry atmosphere and the relevant fractional-mass scale heights have been computed utilizing the very accurate eight-point Gauss-Legendre numerical quadrature for both ISOAM and NLPAM. Both, the ISOAM and the NLPAM represent viable alternatives to ISA in many practical applications and …
Formation Of Three-Dimensional Surface Waves On Deep-Water Using Elliptic Solutions Of Nonlinear Schrödinger Equation, Shahrdad G. Sajjadi, S.C. Mancas, Frederique Drullion
Formation Of Three-Dimensional Surface Waves On Deep-Water Using Elliptic Solutions Of Nonlinear Schrödinger Equation, Shahrdad G. Sajjadi, S.C. Mancas, Frederique Drullion
Publications
A review of three-dimensional waves on deep-water is presented. Three forms of three-dimensionality, namely oblique, forced and spontaneous types, are identified. An alternative formulation for these three-dimensional waves is given through cubic nonlinear Schrödinger equation. The periodic solutions of the cubic nonlinear Schrödinger equation are found using Weierstrass elliptic ℘ functions. It is shown that the classification of solutions depends on the boundary conditions, wavenumber and frequency. For certain parameters, Weierstrass ℘ functions are reduced to periodic, hyperbolic or Jacobi elliptic functions. It is demonstrated that some of these solutions do not have any physical significance. An analytical solution of …
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method, Leitao Chen, Laura A. Schaefer
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method, Leitao Chen, Laura A. Schaefer
Publications
A new boundary treatment is proposed for the finite volume discrete Boltzmann method (FVDBM) that can be used for accurate simulations of curved boundaries and complicated flow conditions. First, a brief review of different boundary treatments for the general Boltzmann simulations is made in order to primarily explain what type of boundary treatment will be developed in this paper for the cell-centered FVDBM. After that, the new boundary treatment along with the cell-centered FVDBM model is developed in detail. Next, the proposed boundary treatment is applied to a series of numerical tests with a detailed discussion of its qualitative and …
Nonlinear Equations And Wavelets, Andrei Ludu
Laplace Transform Of Spherical Bessel Functions, Andrei Ludu
Laplace Transform Of Spherical Bessel Functions, Andrei Ludu
Andrei Ludu
No abstract provided.
Wavelets And Quantum Algebras, Andrei Ludu
Nonlinear Deformed Su(2) Algebras Involving Two Deforming Function, Andrei Ludu
Nonlinear Deformed Su(2) Algebras Involving Two Deforming Function, Andrei Ludu
Andrei Ludu
No abstract provided.
On The Quadratic Form N12 +N22 +N32 - N42 In Z4, Andrei Ludu
On The Quadratic Form N12 +N22 +N32 - N42 In Z4, Andrei Ludu
Andrei Ludu
No abstract provided.