Charles K. Birdsall's Plasma physics via computer simulation PDF

By Charles K. Birdsall

ISBN-10: 0070053715

ISBN-13: 9780070053717

Divided into 3 major elements, the ebook publications the reader to an knowing of the fundamental suggestions during this interesting box of analysis. half 1 introduces you to the basic suggestions of simulation. It examines one-dimensional electrostatic codes and electromagnetic codes, and describes the numerical equipment and research. half 2 explores the math and physics at the back of the algorithms utilized in half 1. partly three, the authors deal with a few of the extra complex simulations in and 3 dimensions. The booklet introduces initiatives to inspire useful paintings Readers can obtain plasma modeling and simulation software program ― the ES1 software ― with implementations for desktops and Unix platforms in addition to the unique FORTRAN resource code. Now on hand in paperback, Plasma Physics through desktop Simulation is a perfect supplement to plasma physics classes and for self-study.

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I , d x , d t , n t p reo1 I endcliche mporam use m p o r o m C c n g m o x = m a x i m u m number of c e l l s . cliche mfield porometer(ngmox=256) porometer(nglm=ngmax+l) c o m m o n /cfield/ ng. 0 . 1 . e p s i . iw. v e c , rho0. a l , a2. rho(ng1m). phi(nglm), e(nglm), . eo, WO logicol vec endcliche mfield use mfield C c c c l i c h e mptcl p a r t i c l e c o o r d i n a t e a n d velocities. vx(8192). vy(8192) e n d c l i c h e mptcl u s e mptcl c o n d e c l a r e v y to b e length 1 i f u n m o g n e t i z e d .

R e a l m , nm u s e mporam real ig use m p t c l d o t o t w o p i / 6 . 2 8 3 1 05307 17958/ C C C C C C C C C C C C C C input voriobles: n =number o f p a r t i c l e s ( f o r t h i s s p e c i e s ) . wp =plormo frequency. wc = c y c l o t r o n frequency. qm =q/m chorge:moss r a t i o . vtl =rms t h e r m a l v e l o c i t y f o r random v e l o c i t i e s . vt2 =rms t h e r m o l v e l o c i t y f o r o r d e r e d v e l o c i t i e s . nlg =number o f l o a d i n g g r o u p s ( s h o r i n g same o r d e r e d v e l o c i t i e s ) .

If a species is meant to be unmagnetized then its w = 0. If w f 0, then IW = 2 (linear weighting) must be used. 3-5 NORMALIZATION; COMPUTER VARIABLES The spatial grid spacing A x and the time step A t enter repeatedly into multiplication (or division) in several places where they may be normalized away. In order to facilitate truncation, we change particle x to computer x / A x . Next, writing the leap-frog particle mover of 2 - 4 ( 3 , 4 ) as Xnew Xold -k vnewh c (2) we see that there are two multiplications by A t for each particle each step, which are not necessary if we change Particle v to computer vA c / A x Grid F/ m = qE/ m to computer q / m E ( A t ) 2 / A x , called A The A x divisor in v and E is required by the x normalization tions now read (21 =[-I +[*I The equa- (3) (4) A X new (MOVE) Ax new A x old Hence, by forming A at the grid points (nearly always we have NG << N) means that ACCEL requires only an addition; MOVE also requires only an addition.

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