Search
Search Results
-
A Modified TENO Scheme with Improved Efficiency
Fu et al. (J Comput Phys 374:724–751, 2018), a class of adaptive targeted ENO (TENO) schemes have been proposed. Excellent resolution and robustness...
-
High-Order Finite-Volume TENO Schemes with Dual ENO-Like Stencil Selection for Unstructured Meshes
The TENO-family schemes (Fu et al. in J Comput Phys 305: 333–359, 2016) have been demonstrated to perform well for compressible gas dynamics and...
-
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes
The recently proposed high-order TENO scheme [Fu et al., Journal of Computational Physics, 305(2016): 333-359] has shown great potential in...
-
An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows
In this paper, an efficient low-dissipation high-order TENO scheme is proposed for ideal MHD flows. For high computational efficiency, a...
-
Two Dimensional Analysis and Optimization of Hybrid MDCD-TENO Schemes
In this article, a quasi-linear semi-discrete analysis of shock capturing schemes in two dimensional wavenumber space is proposed. Using the...
-
High-order targeted essentially non-oscillatory scheme for two-fluid plasma model
The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model, which cannot describe certain nonequilibrium phenomena...
-
A New Adaptation Strategy for Multi-resolution Method
Adaptive mesh refinement (AMR) and wavelet-based multi-resolution technique, which refine the spatial resolution in regions of interest and coarsen...
-
A Family of Fast Multi-resolution ENO Schemes for Compressible Flows
In this paper, a new class of high-order fast multi-resolution essentially non-oscillatory (FMRENO) schemes is proposed with an emphasis on both the...
-
Fifth-Order Hermite Targeted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws
We present a targeted essentially non-oscillatory (TENO) scheme based on Hermite polynomials for solving hyperbolic conservation laws. Hermite...
-
High-Order Low-Dissipation Targeted ENO Schemes for Ideal Magnetohydrodynamics
The recently proposed targeted ENO (TENO) schemes (Fu et al. J Comput Phys 305:333–359,
2016 ) are demonstrated to feature the controllable low...
-
Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations
We present fourth-order conservative non-splitting semi-Lagrangian (SL) Hermite essentially non-oscillatory (HWENO) schemes for linear transport...
-
Strong shock propagation for the finite-source circular blast in a confined domain
The circular explosion wave produced by the abrupt discharge of gas from a high-temperature heat source serves as a crucial model for addressing...
-
A New Hybrid WENO Scheme on a Four-Point Stencil for Euler Equations
To enhance the performance of the third-order weighted essentially non-oscillatory (WENO) scheme on the four-point stencil, a new hybrid central-type...
-
On Using Artificial Viscosity in Edge-Based Schemes on Unstructured Grids
AbstractWhen solving multidimensional problems of gas dynamics, finite-volume schemes using complete (i.e., based on a three-wave configuration)...
-
Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave
A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity. By introducing...
-
An oscillation-free Hermite WENO scheme for hyperbolic conservation laws
In this paper, the sixth-order oscillation-free Hermite weighted essentially non-oscillatory (OF-HWENO) scheme is proposed for hyperbolic...
-
A Spatio-temporal Optimal, Hybird Compact–WENO Scheme with Minimized Dispersion and Critical-adaptive Dissipation for Solving Compressible Flows
In this paper, based on our previous optimal compact schemes with minimized dispersion and controllable dissipation (OC–WENO schemes) (Sun et al. in...
-
Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations
The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-AWENO) scheme has been designed to solve hyperbolic...
-
High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows
A high-order finite-volume scheme with anisotropic adaptive mesh refinement (AMR) is combined with a parallel inexact Newton method for the solution...
-
A POD framework to determine robust controls in PDE optimization
A strategy for the fast computation of robust controls of PDE models with random-field coefficients is presented. A robust control is defined as the...