A new Network Simulation Method for the characterization of delay differential equations

Garratón, Manuel Caravaca; García-Onsurbe, María del Carmen; Soto-Meca, Antonio

doi:10.1016/j.asej.2022.102066

Cited by 3 publications

(1 citation statement)

References 33 publications

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“…As regards the curvature of the profiles within the development region, this depends on the value of the monomial T w −T s T b −T w . The mathematical model is numerically simulated using the free software Ngspice [19] via a precise model based on the network simulation method [20], a tool that has demonstrated efficiency and reliability in many other problems of similar or higher complexity [21][22][23][24][25][26]. Ngspice provides the exact solution of the networks due to its powerful algorithms, so that the negligible errors caused by computation are only due to the grid size.…”

Section: Physical Scenariomentioning

confidence: 99%

Inverse Problem Protocol to Estimate Horizontal Groundwater Velocity from Temperature–Depth Profiles in a 2D Aquifer

Alhama,

Jiménez-Valera,

Alhama

2024

Applied Sciences

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A general and precise protocol that follows the standards of an inverse problem in engineering is proposed to estimate groundwater velocity from experimental lectures of temperature vertical profiles in a 2D aquifer. Several values of error in the temperature measurements are assumed. Since a large quantity of parameters and initial conditions influence the solution of this process, the protocol is very complex and needs to be tested to ensure its reliability. The studied scenario takes into account the input temperature of the water as well as the isothermal conditions at the surface and bottom of the aquifer. The existence of an input region, in which profiles develop to become linear, allows us to eliminate experimental measurements beyond such a region. Once the protocol is developed and tested, it is successfully applied to estimate the regional (lateral) groundwater velocity of the real aquifer and the result compared with estimations coming from the piezometric map.

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Section: Physical Scenariomentioning

confidence: 99%

Inverse Problem Protocol to Estimate Horizontal Groundwater Velocity from Temperature–Depth Profiles in a 2D Aquifer

Alhama,

Jiménez-Valera,

Alhama

2024

Applied Sciences

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A Damping-Free Method for Mitigation of Trapezoidal Rule Oscillations in Linear Systems

Saied,

Ahmed,

Babikir

et al. 2024

2024 6th Global Power, Energy and Communication Conference (GPECOM)

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On Mechanical and Chaotic Problem Modeling and Numerical Simulation Using Electric Networks

Aráez,

Jiménez-Valera,

Alhama

2024

Modelling

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After reviewing the use of electrical circuit elements to model dynamic processes or the operation of devices or equipment, both in real laboratory implementations and through ideal circuits implemented in simulation software, a network model design protocol is proposed. This approach, following the basic rules of circuit theory, makes use of controlled generators to implement any type of nonlinearity contained in the governing equations. Such a protocol constitutes an interesting educational tool that makes it possible for nonexpert students in mathematics to design and numerically simulate complex physical processes. Three applications to mechanical and chaotic problems are presented to illustrate the versatility of the proposed protocol.

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A new Network Simulation Method for the characterization of delay differential equations

Cited by 3 publications

References 33 publications

Inverse Problem Protocol to Estimate Horizontal Groundwater Velocity from Temperature–Depth Profiles in a 2D Aquifer

Inverse Problem Protocol to Estimate Horizontal Groundwater Velocity from Temperature–Depth Profiles in a 2D Aquifer

A Damping-Free Method for Mitigation of Trapezoidal Rule Oscillations in Linear Systems

On Mechanical and Chaotic Problem Modeling and Numerical Simulation Using Electric Networks

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