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Concept
Riemann Problem
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Summary
The
Riemann Problem
is a specific type of
Hyperbolic partial differential equation
(PDE) with
Piecewise constant initial conditions
, giving rise to discontinuities like
Shock Waves
and
Rarefaction Waves
in
Fluid Dynamics
. It is crucial for understanding the
Propagation of waves
and the
Structure of solutions
in systems governed by
Conservation Laws
.
Concepts
Hyperbolic Partial Differential Equations
Initial Value Problems
Shock Waves
Rarefaction Waves
Conservation Laws
Wave Propagation
Discontinuities
Piecewise Constant Functions
Numerical Methods For PDEs
Discontinuity Capture
Artificial Viscosity
Godunov's Scheme
Hyperbolic Conservation Laws
Relevant Degrees
Differential and Integral Equations 57%
Operational Research 43%
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