6533b836fe1ef96bd12a1baf

RESEARCH PRODUCT

A Polynomial Approach to the Piecewise Hyperbolic Method

Sonia BusquierSergio AmatVicente F. Candela

subject

Conservation lawPolynomialMechanical EngineeringHyperbolic functionMathematical analysisComputational MechanicsEnergy Engineering and Power TechnologyAerospace EngineeringCondensed Matter PhysicsMechanics of MaterialsShock capturing methodPiecewiseHigh orderHyperbolic partial differential equationMathematics

description

In this paper, a local (third-order accurate) shock capturing method for hyperbolic conservation laws is presented. The method has been made with the same idea as the PHM method, but with a simpler reconstruction. A comparison with the classic high order methods is discussed.

https://doi.org/10.1080/1061856031000123850