A comparison of modern hyperbolic methods for semiconductor device simulation: NTK central scheme Vs. CLAWPACK

Carl Gardner; Anne Gelb; Justin Hernandez

doi:10.1080/1065514021000012336

A comparison of modern hyperbolic methods for semiconductor device simulation: NTK central scheme Vs. CLAWPACK

Carl Gardner, Anne Gelb, Justin Hernandez

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Two modern hyperbolic methods - a second-order Gudunov method in the software package CLAWPACK and the second-order Nessyahu - Tadmor - Kurganov (NTK) central scheme-are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices. The NTK central scheme, which does not employ Riemann problem solutions, is described in detail. Special attention is paid in both methods to handling the source terms in the hydrodynamic model. CLAWPACK incorporates the source terms by a splitting method, while our version of the NTK scheme is unsplit.

Original language	English (US)
Pages (from-to)	721-728
Number of pages	8
Journal	VLSI Design
Volume	15
Issue number	4
DOIs	https://doi.org/10.1080/1065514021000012336
State	Published - Dec 2002

Keywords

CLAWPACK
Hyperbolic central schemes
NTK central scheme
Numerical methods for hyperbolic PDEs

ASJC Scopus subject areas

Hardware and Architecture
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering

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10.1080/1065514021000012336

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abstract = "Two modern hyperbolic methods - a second-order Gudunov method in the software package CLAWPACK and the second-order Nessyahu - Tadmor - Kurganov (NTK) central scheme-are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices. The NTK central scheme, which does not employ Riemann problem solutions, is described in detail. Special attention is paid in both methods to handling the source terms in the hydrodynamic model. CLAWPACK incorporates the source terms by a splitting method, while our version of the NTK scheme is unsplit.",

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AB - Two modern hyperbolic methods - a second-order Gudunov method in the software package CLAWPACK and the second-order Nessyahu - Tadmor - Kurganov (NTK) central scheme-are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices. The NTK central scheme, which does not employ Riemann problem solutions, is described in detail. Special attention is paid in both methods to handling the source terms in the hydrodynamic model. CLAWPACK incorporates the source terms by a splitting method, while our version of the NTK scheme is unsplit.

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A comparison of modern hyperbolic methods for semiconductor device simulation: NTK central scheme Vs. CLAWPACK

Abstract

Keywords

ASJC Scopus subject areas

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