The mathematical description of shock waves has been a fundamental
challenge in Fluid Dynamics and became a real problem for the
calculations of the first thermonuclear explosions, during World
War II. Two famous mathematicians, Von Neumann and R. D. Richtmyer,
working at Los Alamos, addressed the issue by including an
artificial viscosity to smooth the shock transition. In general,
numerical solutions of hydrodynamic problems make use of two
different grid points to represent the relevant variables, namely
the Eulerian and Lagrangian representations. The arbitrariness
related to the selection of grid points, ad hoc, is examined in
detail in this book, as well as the reasons subjacent to the need
to introduce an artificial viscosity. A new approach to
Hydrodynamics is presented in which the specification of grid
points is considered an intrinsic part of the dynamic problem and
in which the discontinuities are taken into account in its own
formulation. Based only in the Hamilton's Principle a set of
differential equations is deduced for both dynamic variables and
grid points. The formalism is applied to the study and analysis of
supernova explosions.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
April 2012 |
First published: |
April 2012 |
Authors: |
Victor Avila
|
Dimensions: |
229 x 152 x 7mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
124 |
ISBN-13: |
978-3-8484-3235-6 |
Categories: |
Books >
Science & Mathematics >
Physics >
General
|
LSN: |
3-8484-3235-8 |
Barcode: |
9783848432356 |
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