Lecture2

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: me (2.2.2b) bears little resemblance to the exact solution. It is oscillatory and growing as the time level increases. The solution obtained by the forward time-backward space di erence scheme (2.2.4) appears to be a good approximation of the exact solution. We will be more precise about the accuracy in Section 2.3, for now, we seek an explanation for the catastrophic failure x x = = t = 2.2. A Kinematic Wave Equation 11 n -4 -3 -2 0 -0.4 -0.3 -0.2 1 -0.45 -0.35 -0.25 2 -0.5 -0.4 -0.3 3 -0.55 -0.45 -0.338 4 -0.6 -0.506 -0.338 5 -0.649 -0.591 -0.253 Table 2.2.1: Solution of Example 2.2.1 (2.2.2b). j -1 01 -0.1 0.0 0.0 -0.15 0.0 0.0 -0.225 0.0 0.0 -0.338 0.0 0.0 -0.506 0.0 0.0 -0.759 0.0 0.0 using the forward n 234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 time-forward space scheme j -4 -3 -2 -1 0 1 2 3 4 0 -0.4 -0.3 -0.2 -0.1 0.0 0.0 0.0 0.0 0.0 1 -0.45 -0.35 -0.25 -0.15 -0.05 0.0 0.0 0.0 0.0 2 -0.5 -0.4 -0.3 -0.2 -0.1 -0.025 0.0 0.0 0.0 3 -0.55 -0.45 -0.35 -0...
View Full Document

This document was uploaded on 03/16/2014 for the course CSCI 6840 at Rensselaer Polytechnic Institute.

Ask a homework question - tutors are online