scholarly journals Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

2019 ◽  
Vol 22 ◽  
pp. 112-117
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Laser Irradiation ◽  
Biological Tissue ◽  
Three Dimensional ◽  
Order Effect ◽  
High Order ◽  
High Order Effect ◽  
Two Temperature

scholarly journals Characterization of Thermal Damage Due to Two-Temperature High-Order Thermal Lagging in a Three-Dimensional Biological Tissue Subjected to a Rectangular Laser Pulse

Polymers ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 922
Author(s):  
Hamdy M. Youssef ◽  
Najat. A. Alghamdi
Keyword(s):  
Fourier Transform ◽  
Biological Tissue ◽  
Thermal Damage ◽  
Three Dimensional ◽  
Bioheat Transfer ◽  
Conduction Model ◽  
Conductive Temperature ◽  
Arrhenius Integral ◽  
The Fourier Transform ◽  
Two Temperature

The use of lasers and thermal transfers on the skin is fundamental in medical and clinical treatments. In this paper, we constructed and applied bioheat transfer equations in the context of a two-temperature heat conduction model in order to discuss the three-dimensional variation in the temperature of laser-irradiated biological tissue. The amount of thermal damage in the tissue was calculated using the Arrhenius integral. Mathematical difficulties were encountered in applying the equations. As a result, the Laplace and Fourier transform technique was employed, and solutions for the conductive temperature and dynamical temperature were obtained in the Fourier transform domain.

A Low Native Jitter Voltage Controlled Oscillator on 0.18μm CMOS Process

2011 ◽  
Vol 383-390 ◽  
pp. 6846-6850
Author(s):  
Zhuo Ma ◽  
Li Luo ◽  
Yang Guo ◽  
Lun Guo Xie ◽  
Ji Hua Chen
Keyword(s):  
Detailed Analysis ◽  
Order Effect ◽  
High Order ◽  
Control Voltage ◽  
Cmos Process ◽  
Voltage Controlled Oscillator ◽  
Test Chip ◽  
High Order Effect ◽  
Peak Value

In this thesis, a kind of jitter is focused on, which is called Native Jitter (NJ) of the Voltage Controlled Oscillator (VCO). The cause of NJ is the high order effect of the transistor itself in the VCO, and almost has no correlation with the control voltage or supply. The detailed analysis of the cause and the evaluation of this NJ is proposed in this paper, and an Inter-locked Dual-loop VCO (ID-VCO) is put forward, in which most of the NJ is eliminated. A test chip of the ID-VCO based on 0.18μm CMOS process is established. Compared with the classical single end VCO, the result shows that the peak to peak value and mean-root-square values of period jitter reduce 15.4% and 16.3%, the same values of cycle-to-cycle jitter reduce 9.82% and 6.98%, respectively.

Optimization of the Navy’s three-dimensional mine impact burial prediction simulation model, Impact35, using high-order numerical methods

2021 ◽  
pp. 154851292110286
Author(s):  
Athanasios Donas ◽  
Ioannis Famelis ◽  
Peter C Chu ◽  
George Galanis
Keyword(s):  
Numerical Analysis ◽  
Numerical Methods ◽  
Prediction Model ◽  
Simulation Model ◽  
Three Dimensional ◽  
Simulation System ◽  
High Order ◽  
Alternative Methodology ◽  
Runge Kutta ◽  
Fifth Order

The aim of this paper is to present an application of high-order numerical analysis methods to a simulation system that models the movement of a cylindrical-shaped object (mine, projectile, etc.) in a marine environment and in general in fluids with important applications in Naval operations. More specifically, an alternative methodology is proposed for the dynamics of the Navy’s three-dimensional mine impact burial prediction model, Impact35/vortex, based on the Dormand–Prince Runge–Kutta fifth-order and the singly diagonally implicit Runge–Kutta fifth-order methods. The main aim is to improve the time efficiency of the system, while keeping the deviation levels of the final results, derived from the standard and the proposed methodology, low.

scholarly journals High-order compact LOD methods for solving high-dimensional advection equations

2021 ◽  
Vol 40 (3) ◽  
Author(s):  
Bo Hou ◽  
Yongbin Ge
Keyword(s):  
Truncation Error ◽  
Three Dimensional ◽  
Taylor Series Expansion ◽  
High Order ◽  
High Dimensional ◽  
Analysis Method ◽  
Order Accuracy ◽  
Von Neumann ◽  
One Dimensional ◽  
Von Neumann Analysis

AbstractIn this paper, by using the local one-dimensional (LOD) method, Taylor series expansion and correction for the third derivatives in the truncation error remainder, two high-order compact LOD schemes are established for solving the two- and three- dimensional advection equations, respectively. They have the fourth-order accuracy in both time and space. By the von Neumann analysis method, it shows that the two schemes are unconditionally stable. Besides, the consistency and convergence of them are also proved. Finally, numerical experiments are given to confirm the accuracy and efficiency of the present schemes.

VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES

2001 ◽  
Vol 09 (04) ◽  
pp. 1259-1286 ◽  
Author(s):  
MIGUEL R. VISBAL ◽  
DATTA V. GAITONDE
Keyword(s):  
Three Dimensional ◽  
Radiation Condition ◽  
Higher Order ◽  
High Order ◽  
High Frequencies ◽  
Decomposition Strategies ◽  
The Impact ◽  
Spurious Modes ◽  
Very High ◽  
Computational Strategy

A high-order compact-differencing and filtering algorithm, coupled with the classical fourth-order Runge–Kutta scheme, is developed and implemented to simulate aeroacoustic phenomena on curvilinear geometries. Several issues pertinent to the use of such schemes are addressed. The impact of mesh stretching in the generation of high-frequency spurious modes is examined and the need for a discriminating higher-order filter procedure is established and resolved. The incorporation of these filtering techniques also permits a robust treatment of outflow radiation condition by taking advantage of energy transfer to high-frequencies caused by rapid mesh stretching. For conditions on the scatterer, higher-order one-sided filter treatments are shown to be superior in terms of accuracy and stability compared to standard explicit variations. Computations demonstrate that these algorithmic components are also crucial to the success of interface treatments created in multi-domain and domain-decomposition strategies. For three-dimensional computations, special metric relations are employed to assure the fidelity of the scheme in highly curvilinear meshes. A variety of problems, including several benchmark computations, demonstrate the success of the overall computational strategy.

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