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Article #8098Re: Simple, linear wave simulation in 2D.
From: Jan Gerrit Kootstra
Date: Fri, 07 Nov 1997 00:00
Date: Fri, 07 Nov 1997 00:00
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Henry Baker schreef:
> If I remember correctly, the finite difference version is something
> like:
>
> w_{i+1}+w_{i-1} = average of the neighbors at t_i.
>
> w(t+1,x,y)+w(t-1,x,y) =
> (w(t,x-1,y)+w(t,x+1,y)+w(t,x,y-1)+w(t,x,y+1))/4
(w(t+1,x,y)+w(t-1,x,y)/(2dt)=(w(t,x-1,y)+w(t,x+1,y)-4(t,x,y)+w(t,x,y-1)+w(t,x,y+1))/sqr(dx)
Is the finite diverence formula to be rewriten to get an interation
scheme. dt:=time step, dx:=step in x-direction, dy:=step in y-direction
(I chose to make equal to dx).
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10b271,115198bae4c3454f X-Google-Attributes: gid10b271,public X-Google-Thread: 109d8a,115198bae4c3454f X-Google-Attributes: gid109d8a,public X-Google-Thread: 10d67e,115198bae4c3454f X-Google-Attributes: gid10d67e,public X-Google-Thread: 10acec,115198bae4c3454f X-Google-Attributes: gid10acec,public X-Google-Thread: 11446d,115198bae4c3454f X-Google-Attributes: gid11446d,public From: Jan Gerrit Kootstra <kootstra@worldonline.nl> Subject: Re: Simple, linear wave simulation in 2D. Date: 1997/11/07 Message-ID: <3462A33E.CC4C8263@worldonline.nl> X-Deja-AN: 287582505 References: <345D809D.74517784@nlc.net.au> <345f1faf.1370228@news.itd.umich.edu> <345F5868.79C6@nojunkmail.nortel.co.uk> <hbaker-0611971501150001@10.0.2.1> X-Priority: 3 (Normal) X-Corel-MessageType: EMail Organization: World Online Newsgroups: sci.physics,alt.sci.physics.acoustics,sci.physics.computational.fluid-dynamics,sci.math,aus.mathematics