Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods
XS Xiang, BS Wang, Z Gao, P Li - Journal of Scientific Computing, 2025 - Springer
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
A new scale-invariant hybrid WENO scheme for steady Euler and Navier-Stokes equations
Y Wan - Applied Numerical Mathematics, 2025 - Elsevier
The steady-state convergence property of prevalent weighted essentially non-oscillatory
(WENO) schemes usually relies on the sensitivity parameter. On the one hand, it is …
(WENO) schemes usually relies on the sensitivity parameter. On the one hand, it is …
[PDF][PDF] Fifth-Order Bound-, Positivity-, and Equilibrium-Preserving Affine-Invariant AWENO Scheme for Two-Medium γ-based Model of Stiffened Gas
We describe a quasi-conservative finite difference AWENO scheme with the affine-invariant
Z-type nonlinear weights (Ai-AWENO) for the γ-based model. The shockcapturing scheme …
Z-type nonlinear weights (Ai-AWENO) for the γ-based model. The shockcapturing scheme …
[PDF][PDF] Lecture Note on the WENO Finite Difference
Welcome to the lecture notes on A Personal Journey in the World of WENO, 8 which is
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …
[PDF][PDF] Affine-Invariant WENO Operator on Nonuniform Mesh with Application to Finite Volume and Discontinuous Galerkin Methods
XS Xiang, BS Wang, Z Gao, P Li - researchgate.net
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
[PDF][PDF] Affine-invariant Trigonometric WENO Finite Difference Schemes for Hyperbolic Conservation Laws
An improved affine-invariant trigonometric weighted essentially non-oscillatory (Ai-TWENO)
finite difference schemes are developed to address the limitations of existing TWENO …
finite difference schemes are developed to address the limitations of existing TWENO …
[PDF][PDF] A high-order physical-constraint-preserving finite difference A-WENO scheme for ten-moment Gaussian closure system
X Zhaoa, G Lia, S Qiana - researchgate.net
The compressible Euler equations take the scalar pressure. However, this description of
pressure is not suitable for several applications. Many alternative mathematical models …
pressure is not suitable for several applications. Many alternative mathematical models …