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Commercial nuclear innovation "new space" age
In early 2006, a start-up company launched a small rocket from a tiny island in the Pacific. It exploded, showering the island with debris. A year later, a second launch attempt sent a rocket to space but failed to make orbit, burning up in the atmosphere. Another year brought a third attempt—and a third failure. The following month, in September 2008, the company used the last of its funds to launch a fourth rocket. It reached orbit, making history as the first privately funded liquid-fueled rocket to do so.
Taewan Noh, Warren F. Miller, Jr.
Nuclear Science and Engineering | Volume 124 | Number 1 | September 1996 | Pages 18-30
Technical Paper | doi.org/10.13182/NSE96-A24221
Articles are hosted by Taylor and Francis Online.
Using the operator form of a synthetic acceleration, the P1 acceleration [diffusion synthetic acceleration (DSA)] and P2 acceleration schemes for one-dimensional slab and the P1 and simplified P2 acceleration schemes for two-dimensional x-y geometry are derived. The convergence rate of each scheme for a simple model problem is compared, and the result is generalized by performing a Fourier analysis. In the one-dimensional case, the new second-moment P2 acceleration outperforms an earlier third-moment P2 acceleration developed by Miller and Larsen. However, it is still less efficient than P1 acceleration. Similar results show that the P1 acceleration converges faster than the simplified P2 acceleration in two-dimensional x-y geometry. These results confirm that one cannot simply assume that replacement of the DSA method with a higher order operator will lead to a smaller spectral radius.