18.11.2014 Views

AIDJEX Bulletin #40 - Polar Science Center - University of Washington

AIDJEX Bulletin #40 - Polar Science Center - University of Washington

AIDJEX Bulletin #40 - Polar Science Center - University of Washington

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

q1 = -A2<br />

q2 =<br />

A1<br />

Therefore, the vectors<br />

and e2 are<br />

R2 = [11]<br />

(74)<br />

Making use <strong>of</strong> the zero terms in coefficients, equations along stress characteristics<br />

are found by substituting for R and sa, a = 1,2 into equation<br />

-a<br />

(66) neglecting the advection. They become<br />

A similar analysis <strong>of</strong> equations along a ueZocity characteristic given<br />

by a = 3,4 requires that eigenvectors<br />

-a<br />

R<br />

and (68) with<br />

Then, since ca'is nonsingular, we require that<br />

be determined from equations (67)<br />

det ca = 0 det ?& # 0 (76)<br />

R = O<br />

-a -<br />

(77)<br />

But S can be found from (67) by solving the linear algebraic equations. It<br />

-a<br />

can be shown that<br />

where the first component has arbitrarily been chosen to be unity. Again<br />

making use <strong>of</strong> zero coefficients and neglecting advection, the governing<br />

equations (66) become<br />

139

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!