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Endre Kiss - One of the best experts on this subject based on the ideXlab platform.
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A Quasilinear Parabolic Type Variational Solution for Fourier’s Irreversible Heat Conduction Process with Minimum Principles in Case of Finite Signal Rate
AIP Conference Proceedings, 2006Co-Authors: Endre KissAbstract:The linear parabolic type pde for Heat Conduction Process is here analysed with Fourier’s constitutive equation. It is an old and well‐known problem that the signal spreading velocity of temperature disturbances is infinite with constant phenomenological coefficient for the Fourier Heat Conduction Process law. Here is shown a quasilinear solution for this problem with a finite signal rate. Connecting to parabolic pde it is shown the minimum principle solution of Onsager, Prigogine and Gyarmati type for the Fourier irreversible Heat Conduction Process in energy, entropy and Fourier representation pictures too. For the stationary state of irreversible Heat Conduction Process there is an interesting form for the variational minimum solution with the aid of the so‐called “naive” variational procedure. This procedure is equivalent for the irreversible Heat Conduction Process with the Euler‐Lagrange pde method’s results. As to the phenomenological solutions of quasilinear irreversible Heat Conduction Process th...
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dirichlet integral principle for elliptic type quasilinear pdes of irreversible Heat Conduction Process with minimum principles for first second and third type boundary conditions
BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 22nd International Workshop on Bayesian Inference and Maximum Entropy Metho, 2003Co-Authors: Endre KissAbstract:Onsager’s [1,2] and Prigogine’s [3,4] type minimum principles can be treated for irreversible Processes in the frame of classical irreversible thermodynamics (CIT). Results agree with Gyarmati’s [5] integral principle. It is especially worthy to investigate the irreversible Heat Conduction Process for the case of a stationary state for which new quasilinear elliptic type PDEs derived from the principles of minimal energy dissipation and minimum entropy production. Evaluating these PDEs through the aid of the Dirichlet Integral Principle yields the first, second and third type boundary condition solutions for each minimum principle. Here the interpretation of the Dirichlet Integral Principle essentially differs from the usually known “conservative” type approach using Laplace’s equation in conjunction with potential theory. Dissipation potentials of Rayleigh and Onsager type also agree with stated results. The evolution of the Process towards a stationary state can be explained with the Glanssdorff‐Prigogine criterion. Boundary conditions of the fourth kind define the Process of Conduction between a single body, or system of bodies and their surroundings. The bodies are assumed to be in perfect contact where and when the surfaces in contact have the same temperature.
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Dirichlet Integral Principle For Elliptic Type Quasilinear PDEs of Irreversible Heat Conduction Process With Minimum Principles For First, Second And Third Type Boundary Conditions
AIP Conference Proceedings, 2003Co-Authors: Endre KissAbstract:Onsager’s [1,2] and Prigogine’s [3,4] type minimum principles can be treated for irreversible Processes in the frame of classical irreversible thermodynamics (CIT). Results agree with Gyarmati’s [5] integral principle. It is especially worthy to investigate the irreversible Heat Conduction Process for the case of a stationary state for which new quasilinear elliptic type PDEs derived from the principles of minimal energy dissipation and minimum entropy production. Evaluating these PDEs through the aid of the Dirichlet Integral Principle yields the first, second and third type boundary condition solutions for each minimum principle. Here the interpretation of the Dirichlet Integral Principle essentially differs from the usually known “conservative” type approach using Laplace’s equation in conjunction with potential theory. Dissipation potentials of Rayleigh and Onsager type also agree with stated results. The evolution of the Process towards a stationary state can be explained with the Glanssdorff‐Prigogi...
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The structure of divergence(s) in stationary state of irreversible Heat Conduction Processes and their partial differential equations of elliptic type
AIP Conference Proceedings, 2002Co-Authors: Endre KissAbstract:Irreversible Processes mean entropy production or simply energy dissipation. This is true for stationary states too. The Laplace’s equation for Heat Conduction as an elliptic linear second order partial differential equation does not express any energy dissipation in the conservative potential field according to the minimum principles. A new quasilinear elliptic type second order partial differential equation to stationary state Heat Conduction Process was analyzed with the aid of minimum principles (and also on the base of the divergence term). Investigations made for Onsager [1,2] and Prigogine [3,4] principles showed the deciding role of local dissipation potentials. The existence of these potentials is basically a crucial point for real Processes. The new quasilinear elliptic type partial differential equation of second order is in total agreement with Gyarmati’s [5] integral principle for stationary state too. Treating the above questions the proper Lagrange densities and the Euler-Lagrange different...
Fuxing Wang - One of the best experts on this subject based on the ideXlab platform.
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The improvement of soil thermodynamics and its effects on land surface meteorology in the IPSL climate model
Geoscientific Model Development Discussions, 2016Co-Authors: Fuxing Wang, Frederique Cheruy, J.-l. DufresneAbstract:This paper describes the implementation of an improved soil thermodynamics in 9 the hydrological module of Earth System Model (ESM) developed at the Institut 10 Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL 11 climate model. A common vertical discretization scheme for the soil moisture and for 12 the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat 13 transported by liquid water into the soil is modeled. The thermal conductivity and the 14 Heat capacity are parameterized as a function of the soil moisture and the texture. 15 Preliminary tests are performed in an idealized 1D framework and the full model is 16 then evaluated in the coupled land/atmospheric module of the IPSL ESM. A nudging 17 approach is used in order to avoid the time-consuming long-term simulations required 18 to account for the natural variability of the climate. Thanks to this nudging approach, 19 the effects of the modified parameterizations can be modeled. The dependence of the 20 soil thermal properties on moisture and texture lead to the most significant changes in 21 the surface energy budget and in the surface temperature, with the strongest effects on 22 the surface energy budget taking place over dry areas and during the night. This has 23 important consequences on the mean surface temperature over dry areas and during 24 the night and on its short-term variability. The parameterization of the soil thermal 25 properties could therefore explain some of the temperature biases and part of the 26 dispersion over dry areas in simulations of extreme events such as Heat waves in 27 state-of-the-art climate models.
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the improvement of soil thermodynamics and its effects on land surface meteorology in the ipsl climate model
Geoscientific Model Development Discussions, 2015Co-Authors: Fuxing Wang, Frederique Cheruy, Jeanlouis DufresneAbstract:Abstract. This paper describes the implementation of an improved soil thermodynamics in the hydrological module of Earth system model (ESM) developed at the Institut Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL climate model. A common vertical discretization scheme for the soil moisture and for the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat transported by liquid water into the soil is modeled. The thermal conductivity and the Heat capacity are parameterized as a function of the soil moisture and the texture. Preliminary tests are performed in an idealized 1-D (one-dimensional) framework and the full model is then evaluated in the coupled land–atmospheric module of the IPSL ESM. A nudging approach is used in order to avoid the time-consuming long-term simulations required to account for the natural variability of the climate. Thanks to this nudging approach, the effects of the modified parameterizations can be modeled. The dependence of the soil thermal properties on moisture and texture lead to the most significant changes in the surface energy budget and in the surface temperature, with the strongest effects on the surface energy budget taking place over dry areas and during the night. This has important consequences on the mean surface temperature over dry areas and during the night and on its short-term variability. The parameterization of the soil thermal properties could therefore explain some of the temperature biases and part of the dispersion over dry areas in simulations of extreme events such as Heat waves in state-of-the-art climate models.
J.-l. Dufresne - One of the best experts on this subject based on the ideXlab platform.
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The improvement of soil thermodynamics and its effects on land surface meteorology in the IPSL climate model
Geoscientific Model Development Discussions, 2016Co-Authors: Fuxing Wang, Frederique Cheruy, J.-l. DufresneAbstract:This paper describes the implementation of an improved soil thermodynamics in 9 the hydrological module of Earth System Model (ESM) developed at the Institut 10 Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL 11 climate model. A common vertical discretization scheme for the soil moisture and for 12 the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat 13 transported by liquid water into the soil is modeled. The thermal conductivity and the 14 Heat capacity are parameterized as a function of the soil moisture and the texture. 15 Preliminary tests are performed in an idealized 1D framework and the full model is 16 then evaluated in the coupled land/atmospheric module of the IPSL ESM. A nudging 17 approach is used in order to avoid the time-consuming long-term simulations required 18 to account for the natural variability of the climate. Thanks to this nudging approach, 19 the effects of the modified parameterizations can be modeled. The dependence of the 20 soil thermal properties on moisture and texture lead to the most significant changes in 21 the surface energy budget and in the surface temperature, with the strongest effects on 22 the surface energy budget taking place over dry areas and during the night. This has 23 important consequences on the mean surface temperature over dry areas and during 24 the night and on its short-term variability. The parameterization of the soil thermal 25 properties could therefore explain some of the temperature biases and part of the 26 dispersion over dry areas in simulations of extreme events such as Heat waves in 27 state-of-the-art climate models.
Jeanlouis Dufresne - One of the best experts on this subject based on the ideXlab platform.
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the improvement of soil thermodynamics and its effects on land surface meteorology in the ipsl climate model
Geoscientific Model Development Discussions, 2015Co-Authors: Fuxing Wang, Frederique Cheruy, Jeanlouis DufresneAbstract:Abstract. This paper describes the implementation of an improved soil thermodynamics in the hydrological module of Earth system model (ESM) developed at the Institut Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL climate model. A common vertical discretization scheme for the soil moisture and for the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat transported by liquid water into the soil is modeled. The thermal conductivity and the Heat capacity are parameterized as a function of the soil moisture and the texture. Preliminary tests are performed in an idealized 1-D (one-dimensional) framework and the full model is then evaluated in the coupled land–atmospheric module of the IPSL ESM. A nudging approach is used in order to avoid the time-consuming long-term simulations required to account for the natural variability of the climate. Thanks to this nudging approach, the effects of the modified parameterizations can be modeled. The dependence of the soil thermal properties on moisture and texture lead to the most significant changes in the surface energy budget and in the surface temperature, with the strongest effects on the surface energy budget taking place over dry areas and during the night. This has important consequences on the mean surface temperature over dry areas and during the night and on its short-term variability. The parameterization of the soil thermal properties could therefore explain some of the temperature biases and part of the dispersion over dry areas in simulations of extreme events such as Heat waves in state-of-the-art climate models.
Frederique Cheruy - One of the best experts on this subject based on the ideXlab platform.
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The improvement of soil thermodynamics and its effects on land surface meteorology in the IPSL climate model
Geoscientific Model Development Discussions, 2016Co-Authors: Fuxing Wang, Frederique Cheruy, J.-l. DufresneAbstract:This paper describes the implementation of an improved soil thermodynamics in 9 the hydrological module of Earth System Model (ESM) developed at the Institut 10 Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL 11 climate model. A common vertical discretization scheme for the soil moisture and for 12 the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat 13 transported by liquid water into the soil is modeled. The thermal conductivity and the 14 Heat capacity are parameterized as a function of the soil moisture and the texture. 15 Preliminary tests are performed in an idealized 1D framework and the full model is 16 then evaluated in the coupled land/atmospheric module of the IPSL ESM. A nudging 17 approach is used in order to avoid the time-consuming long-term simulations required 18 to account for the natural variability of the climate. Thanks to this nudging approach, 19 the effects of the modified parameterizations can be modeled. The dependence of the 20 soil thermal properties on moisture and texture lead to the most significant changes in 21 the surface energy budget and in the surface temperature, with the strongest effects on 22 the surface energy budget taking place over dry areas and during the night. This has 23 important consequences on the mean surface temperature over dry areas and during 24 the night and on its short-term variability. The parameterization of the soil thermal 25 properties could therefore explain some of the temperature biases and part of the 26 dispersion over dry areas in simulations of extreme events such as Heat waves in 27 state-of-the-art climate models.
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the improvement of soil thermodynamics and its effects on land surface meteorology in the ipsl climate model
Geoscientific Model Development Discussions, 2015Co-Authors: Fuxing Wang, Frederique Cheruy, Jeanlouis DufresneAbstract:Abstract. This paper describes the implementation of an improved soil thermodynamics in the hydrological module of Earth system model (ESM) developed at the Institut Pierre Simon Laplace (IPSL) and its effects on land surface meteorology in the IPSL climate model. A common vertical discretization scheme for the soil moisture and for the soil temperature is adopted. In addition to the Heat Conduction Process, the Heat transported by liquid water into the soil is modeled. The thermal conductivity and the Heat capacity are parameterized as a function of the soil moisture and the texture. Preliminary tests are performed in an idealized 1-D (one-dimensional) framework and the full model is then evaluated in the coupled land–atmospheric module of the IPSL ESM. A nudging approach is used in order to avoid the time-consuming long-term simulations required to account for the natural variability of the climate. Thanks to this nudging approach, the effects of the modified parameterizations can be modeled. The dependence of the soil thermal properties on moisture and texture lead to the most significant changes in the surface energy budget and in the surface temperature, with the strongest effects on the surface energy budget taking place over dry areas and during the night. This has important consequences on the mean surface temperature over dry areas and during the night and on its short-term variability. The parameterization of the soil thermal properties could therefore explain some of the temperature biases and part of the dispersion over dry areas in simulations of extreme events such as Heat waves in state-of-the-art climate models.
