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Article
A Fourth-Order Unstructured NURBS-Enhanced Finite Volume WENO Scheme for Steady Euler Equations in Curved Geometries
In Li and Ren (Int. J. Numer. Methods Fluids 70: 742–763, 2012), a high-order k-exact WENO finite volume scheme based on secondary reconstructions was proposed to solve the two-dimensional time-dependent Euler eq...
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Article
High Order Finite Difference Alternative WENO Scheme for Multi-component Flows
A fifth order finite difference alternative weighted essentially non-oscillatory scheme is studied for a five-equation model, which plays an important role in the modelling of compressible multi-component flow...
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Article
On the Choice of Robin Parameters for the Optimized Schwarz Method for Domains with Non-Conforming Heterogeneities
We consider the solution of \(-\nabla \cdot (\nu (x)\nabla u)=0\) - ...
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Article
A Robust High Order Alternative WENO Scheme for the Five-Equation Model
High order methods play important roles in the modelling of compressible multi-component flows. However, they may generate negative sound speed, which leads to an instability of the numerical schemes. In this ...
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Chapter and Conference Paper
Optimized Schwarz-based Nonlinear Preconditioning for Elliptic PDEs
This type of equation often arises from the implicit discretization of a time-dependent problem or from a steady state calculation, for example the Forchheimer equation [5] in porous media flow.
