README.md


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# couscous

## centered scheme for linear acoustic equations in heterogeneous medium

I am currently very interested in the solution of nonconservative hyperbolic
systems, such as the acoustic equations derived in [1]. The main
file here implements the primitive centered scheme (PRICE) from [2].

### t = 0.104 sec

![res104](https://github.com/zgxn/acoustic/blob/master/img/res104.png "image")

### t = 0.26 sec

![res26](https://github.com/zgxn/acoustic/blob/master/img/res26.png "image")

## references

[1] LeVeque, R.J. Wave propagation algorithms for multidimensional hyperbolic
systems, Journal of Computational Physics 131, 327-353, 1997.

[2] Toro, E.F., Siviglia, A. PRICE: primitive centered schemes for hyperbolic
systems, International Journal for Numerical Methods in Fluids 42, 1263-1291,
2003.