Conformal mapping is a useful technique for handling irregular geometries when applying the finite difference method to solve partial differential equations. When the mapping is from a hyperrectangular region onto a rectangular region, a specific length-to-width ratio of the rectangular region that fitted the Cauchy-Riemann equations must be satisfied. In this research, a numerical integral method is proposed to find the specific length-to-width ratio. It is conventional to employ the boundary integral method (BIEM) to perform the conformal mapping. However, due to the singularity produced by the BIEM in seeking the derivatives on the boundaries, the transformation Jacobian determinants on the boundaries have to be evaluated at inner points instead of directly on the boundaries. This approximation is a source of numerical error. In this study, the transformed rectangular property and the Cauchy-Riemann equations are successfully applied to derive reduced formulations of the derivatives on the boundaries for the BIEM. With these boundary derivative formulations, the Jacobian determinants can be evaluated directly on the boundaries. Furthermore, the results obtained are more accurate than those of the earlier mapping method.
from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/1ofZwXk
via IFTTT
Εγγραφή σε:
Σχόλια ανάρτησης (Atom)
Δημοφιλείς αναρτήσεις
-
ACS Nano DOI: 10.1021/acsnano.7b04100 from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2h0ZFyU via...
-
Denotation as Complex and Chronologically Extended: anvitābhidhāna in Śālikanātha's Vākyārthamātṛkā - I Abstract The two theories of ve...
-
UM-Chor1: establishment and characterization of the first validated clival chordoma cell line. J Neurosurg. 2017 Apr 21;:1-9 Authors:...
-
Abstract Cerebral and systemic organ microvascular pathologies coexist with human Alzheimer’s disease (AD) neuropathology. In this study, w...
-
Tetracycline Repressors (TetRs) modulate multi-drug efflux pathways in several pathogenic bacteria. In Streptomyces, they additionally regul...
-
ACS Nano DOI: 10.1021/acsnano.7b01493 from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2qGf6xB via...
-
Description A Caucasian boy aged 5 years presented with acute onset of a non-tender, palpable purpuric rash to his lower limbs, preceded by ...
-
Purpose. Sinonasal malignant mucosal melanoma is a rare, aggressive tumour. Nasal obstruction and epistaxis are the most commonly reported s...
-
No abstract available from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2rBi6L2 via IFTTT
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου