Marching distance functions for smooth control of hyperbolic grids

2000-10-01
Durmus, G
Kavsaoglu, MS
The smooth control of hyperbolic grids is achieved by using marching distance functions. The marching distance can be expressed as a function of grid control. The derivative expressions of the linearized hyperbolic equations are approximated by second order central differences.
AIAA JOURNAL

Suggestions

Matching and reconstruction of line features from ultra-high resolution stereo aerial imagery
Ok, Ali Özgün; Toprak, Vedat; Soergel, Uwe; Department of Geodetic and Geographical Information Technologies (2011)
In this study, a new approach for the matching and reconstruction of line features from multispectral stereo aerial images is presented. The advantages of the existing multispectral information in aerial images are fully taken into account all over the steps of pre-processing and edge detection. To accurately describe the straight line segments, a principal component analysis technique is adapted. The initial correspondences between the stereo images are generated using a new pair-wise stereo matching appro...
Numerical simulation of minimum B-jumps at abrupt drops
Tokyay, Nuray; Altan Sakarya, Ayşe Burcu (2008-03-30)
A numerical simulation of minimum B-jumps in horizontal rectangular channels having an abrupt drop is given. Gradually varied, steady, supercritical flow is assumed as the initial condition. An unsteady flow is created by increasing the downstream depth. One-dimensional, unsteady Saint-Venant equations are solved by using the MacCormack and the dissipative two-four explicit finite difference schemes. The steady flow solution is obtained by treating the time variable as an iteration parameter and letting the...
Smoothing and differentiation of dynamic data
Titrek, Fatih; Tarı, Zehra Sibel; Department of Computer Engineering (2010)
Smoothing is an important part of the pre-processing step in Signal Processing. A signal, which is purified from noise as much as possible, is necessary to achieve our aim. There are many smoothing algorithms which give good result on a stationary data, but these smoothing algorithms don’t give expected result in a non-stationary data. Studying Acceleration data is an effective method to see whether the smoothing is successful or not. The small part of the noise that takes place in the Displacement data wil...
Studies on the generalized and reverse generalized bessel polynomials
Polat, Zeynep Sonay; Taşeli, Hasan; Department of Mathematics (2004)
The special functions and, particularly, the classical orthogonal polynomials encountered in many branches of applied mathematics and mathematical physics satisfy a second order differential equation, which is known as the equation of the hypergeometric type. The variable coefficients in this equation of the hypergeometric type are of special structures. Depending on the coefficients the classical orthogonal polynomials associated with the names Jacobi, Laguerre and Hermite can be derived as solutions of th...
Comparison of linear and quadratic hexahedral edge elements in electromagnetic scattering problems
Yılmaz, Ayşen; Kuzuoğlu, Mustafa (2008-01-01)
In this article, performances of linear and quadratic hexahedral edge elements are compared in the context of electromagnetic scattering problems. The de-facto standard of 0.1 lambda element size for linear elements is taken as a basis; and 0.3 to 0.4 lambda-size quadratic element usage is proposed for a better accuracy level with dramatic reduction in computation time and 7 memory. The proposed scheme is applied to some well-known practical problems. (c) 2007 Elsevier GmbH. All rights reserved.
Citation Formats
G. Durmus and M. Kavsaoglu, “Marching distance functions for smooth control of hyperbolic grids,” AIAA JOURNAL, pp. 1987–1989, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65539.