Search
Search Results
-
Revisting High-Resolution Schemes with van Albada Slope Limiter
Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The...
-
High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws
In this paper, a class of high-order multi-resolution central Hermite WENO (C-HWENO) schemes for solving hyperbolic conservation laws is proposed....
-
Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation
In this article, non-standard compact finite difference schemes are constructed for the numerical approximation to first- and second-order...
-
High-resolution WENO schemes using local variation-based smoothness indicator
A novel smoothness indicator is proposed herein for WENO schemes based on the point-wise local variation in the candidate stencils. The proposed...
-
High Order Absolutely Convergent Fast Swee** Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal Equations
Fast swee** methods are a class of efficient iterative methods developed in the literature to solve steady-state solutions of hyperbolic partial...
-
Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows
Capturing elaborated flow structures and phenomena is required for well-solved numerical flows. The finite difference methods allow simple...
-
A Modified High-Resolution Non-staggered Central Scheme with Adjustable Numerical Dissipation
In this article, we present a low numerical dissipation non-staggered central scheme for the Riemann problems in hyperbolic conservation laws and...
-
Analyze Accelerated Mirror Descent via High-Resolution ODEs
Mirror descent, which can be seen as generalization of gradient descent for solving constrained optimization problem, has found a variety...
-
Improved weighted essentially non-oscillatory schemes with modified stencil approximation
In this article, a new modified stencil approximation for weighted essentially non-oscillatory (WENO) schemes is proposed to reduce numerical...
-
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...
-
The Compact and Accuracy Preserving Limiter for High-Order Finite Volume Schemes Solving Compressible Flows
In this paper, a new limiter namely the compact weighted biased average procedure (CWBAP) is proposed for the shock capturing of high-order finite...
-
On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws
Cost-effective multilevel techniques for homogeneous hyperbolic conservation laws are very successful in reducing the computational cost associated...
-
Reformulated Dissipation for the Free-Stream Preserving of the Conservative Finite Difference Schemes on Curvilinear Grids
In this paper, we develop a new free-stream preserving (FP) method for high-order upwind conservative finite-difference (FD) schemes on curvilinear...
-
New Low-Dissipation Central-Upwind Schemes
In this paper, we develop new second-order low-dissipation central-upwind (LDCU) schemes for hyperbolic systems of conservation laws. Like all of the...
-
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 new type of high-order finite difference compact reconstruction multi-resolution WENO scheme for nonlinear degenerate parabolic equations
In recent years, with the gradual improvement of the floating-point computing capabilities, the precise simulation of multi-scale flow structures...
-
High-Order Semi-implicit Schemes for Evolutionary Partial Differential Equations with Higher Order Derivatives
The aim of this work is to apply a semi-implicit (SI) strategy in an implicit-explicit (IMEX) Runge–Kutta (RK) setting introduced in Boscarino et al....
-
Efficient WENO Schemes for Nonuniform Grids
A set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple...
-
Generalized high-order compact difference schemes for the generalized Rosenau–Burgers equation
A shallow-water wave propagation model can be described as a generalized Rosenau–Burgers equation with strong nonlinearity and high-order dispersion...
-
Combined Numerical Schemes
AbstractA survey of works concerning high-order accurate numerical methods designed for shock-capturing computations of discontinuous solutions to...
