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|Document Type: ||Technical Report|
|Title: ||Arbitrary-order high resolution schemes for model hyperbolic conservation laws|
|Authors: ||Shi, Jian|
|Issue Date: ||1992|
|Abstract: ||This report investigates the general theory and methodology of high resolution numerical schemes for one-dimensional hyperbolic conservation laws.
The Universal Formula from which 2-level explicit conservative arbitrary-order numerical methods can be derived is developed.
This report also explores the issue of linear stability. A new approach to linear
stability analysis is presented.
The generalized formulation for TVD methods with stable region of -1 ≤ c ≤ 1
To demonstrate the theories, some third order and fourth order TVD methods are
|Appears in Collections:||College of Aeronautics Reports|
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