Keywords: حفظ مثبت; Systems of conservation laws; Finite element methods; Local maximum principles; Limiting techniques; Positivity preservation;
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Keywords: حفظ مثبت; Implicit temporal discretization; Monotonicity preservation; Positivity preservation; Dual time stepping; Implicit schemes; Reactive compressible flow;
Keywords: حفظ مثبت; Systems of conservation laws; Local extremum diminishing limiters; Positivity preservation; Flux-corrected transport/remapping;
Keywords: حفظ مثبت; Multigrid; Positivity preservation; Turbulence models; Combustion; Numerical stiffness; Defect correction;
Keywords: حفظ مثبت; Shallow water equations; C-property; Moving equilibria; Unstructured grids; Residual based schemes; Residual distribution; Positivity preservation;
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs
Keywords: حفظ مثبت; Shallow water equations; Discontinuous Galerkin spectral element method; Shock capturing; Positivity preservation; GPUs; OCCA;
A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
Keywords: حفظ مثبت; Shallow water; Discontinuous Galerkin; Finite volume subcells; Well-balanced scheme; Positivity preservation
Towards positivity preservation for monolithic two-way solid–fluid coupling
Keywords: حفظ مثبت; Positivity preservation; Compressible flow; Monolithic solid–fluid coupling; Fluid simulation
A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection–diffusion–reaction equation
Keywords: حفظ مثبت; 65M06; 35L70; 35Q35; 15B48Time-delayed advection–diffusion–reaction equation; Finite-difference scheme; Skew symmetry preservation; Positivity preservation; Boundedness preservation
Positivity-preserving flux difference splitting schemes
Keywords: حفظ مثبت; Positivity preservation; Rule of the positive coefficients; Flux difference splitting (FDS); Roe solver; Monotonicity preservation; Total variation diminishing (TVD); Centered TVD limiters; Yee–Roe scheme; Interface averaging
A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher’s model with nonlinear damping
Keywords: حفظ مثبت; Time-delayed convection–diffusion–reaction equation; Finite-difference scheme; Skew-symmetry preservation; Positivity preservation; Boundedness preservation
Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping
Keywords: حفظ مثبت; Hyperbolic Burgers–Fisher equation; Numerical method; Boundedness preservation; Positivity preservation; M-matrix
Positivity-preserving flux-limited method for compressible fluid flow
Keywords: حفظ مثبت; Positivity preservation; Compressible fluid; Monotonicity; Flux limiters; Flux vector splitting; Steger-Warming scheme; Hypersonic flow
The numerical solution of a generalized Burgers–Huxley equation through a conditionally bounded and symmetry-preserving method
Keywords: حفظ مثبت; Burgers–Huxley equation; Non-standard method; Symmetry preservation; Boundedness preservation; Positivity preservation
A robust implicit multigrid method for RANS equations with two-equation turbulence models
Keywords: حفظ مثبت; RANS; Turbulence model; Positivity preservation; Numerical stiffness; Source term; Multigrid
Unconditionally positive implicit procedure for two-equation turbulence models: Application to k–ω turbulence models
Keywords: حفظ مثبت; Implicit method; Turbulence model; Positivity preservation; Numerical stiffness; Computations; Source term