Euclid preparation. Simulations and nonlinearities beyond $\Lambda$CDM. 1. Numerical methods and validation
J Adamek
,
B Fiorini
,
M Baldi
,
G Brando
,
M.-A Breton
(1)
,
F Hassani
,
K Koyama
,
A.M.C Le Brun
(1)
,
G Rácz
,
H.-A Winther
,
A Casalino
,
C Hernández-Aguayo
,
B Li
,
D Potter
,
E Altamura
,
C Carbone
,
C Giocoli
,
D.F Mota
,
A Pourtsidou
,
Z Sakr
(2)
,
F Vernizzi
(3)
,
A Amara
,
S Andreon
,
N Auricchio
,
C Baccigalupi
,
S Bardelli
,
P Battaglia
,
D Bonino
,
E Branchini
,
M Brescia
,
J Brinchmann
,
A Caillat
(4)
,
S Camera
,
V Capobianco
,
V.F Cardone
,
J Carretero
,
S Casas
,
F.J Castander
,
M Castellano
,
G Castignani
,
S Cavuoti
,
A Cimatti
,
C Colodro-Conde
,
G Congedo
,
C.J Conselice
,
L Conversi
,
Y Copin
(5)
,
F Courbin
,
H.M Courtois
(5)
,
A da Silva
,
H Degaudenzi
,
G de Lucia
,
Marian Douspis
(6)
,
F Dubath
,
X Dupac
,
S Dusini
,
M Farina
,
S Farrens
(7)
,
S Ferriol
(5)
,
P Fosalba
,
M Frailis
,
E Franceschi
,
M Fumana
,
S Galeotta
,
B Gillis
,
P Gómez-Alvarez
,
A Grazian
,
F Grupp
,
L Guzzo
,
S.V.H Haugan
,
W Holmes
,
F Hormuth
,
A Hornstrup
,
S Ilić
(8, 2)
,
K Jahnke
,
M Jhabvala
,
B Joachimi
,
E Keihänen
,
S Kermiche
(9)
,
A Kiessling
,
M Kilbinger
(7)
,
B Kubik
(5)
,
M Kümmel
,
M Kunz
,
H Kurki-Suonio
,
S Ligori
,
P.B Lilje
,
V Lindholm
,
I Lloro
,
G Mainetti
(10)
,
E Maiorano
,
O Mansutti
,
O Marggraf
,
K Markovic
,
M Martinelli
,
N Martinet
(4)
,
F Marulli
,
R Massey
,
E Medinaceli
,
S Mei
(11)
,
M Melchior
,
Y Mellier
(12)
,
M Meneghetti
,
E Merlin
,
G Meylan
,
M Moresco
,
L Moscardini
,
C Neissner
,
S.-M Niemi
(13)
,
C Padilla
,
S Paltani
,
F Pasian
,
K Pedersen
,
W.J Percival
,
V Pettorino
(13)
,
S Pires
(7)
,
G Polenta
,
M Poncet
(14)
,
L.A Popa
,
L Pozzetti
,
F Raison
,
A Renzi
,
J Rhodes
,
G Riccio
,
E Romelli
,
M Roncarelli
,
R Saglia
,
A.G Sánchez
,
D Sapone
,
B Sartoris
,
M Schirmer
,
T Schrabback
,
A Secroun
(9)
,
G Seidel
,
S Serrano
,
C Sirignano
,
G Sirri
,
L Stanco
,
J Steinwagner
,
P Tallada-Crespí
,
D Tavagnacco
,
I Tereno
,
R Toledo-Moreo
,
F Torradeflot
,
I Tutusaus
(2)
,
E.A Valentijn
,
L Valenziano
,
T Vassallo
,
G Verdoes Kleijn
,
A Veropalumbo
,
Y Wang
,
J Weller
,
G Zamorani
,
E Zucca
,
A Biviano
,
C Burigana
,
M Calabrese
,
D Di Ferdinando
,
J.A. Escartin Vigo
,
G Fabbian
,
F Finelli
,
J Gracia-Carpio
,
S Matthew
,
N Mauri
,
A Pezzotta
,
M Pöntinen
,
V Scottez
(12, 15)
,
M Tenti
,
M Viel
,
M Wiesmann
,
Y Akrami
,
V Allevato
,
S Anselmi
(1)
,
M Archidiacono
,
F Atrio-Barandela
,
A Balaguera-Antolinez
,
M Ballardini
,
A Blanchard
(2)
,
L Blot
(1)
,
H Böhringer
,
S Borgani
,
S Bruton
,
R Cabanac
(2)
,
A Calabro
,
B Camacho Quevedo
,
G Cañas-Herrera
(13)
,
A Cappi
(16)
,
F Caro
,
C.S Carvalho
,
T Castro
,
K.C Chambers
,
S Contarini
,
A.R Cooray
,
G Desprez
,
A Díaz-Sánchez
,
J.J Diaz
,
S Di Domizio
,
Herve Dole
(17, 6)
,
S Escoffier
(9)
,
A.G Ferrari
,
P.G Ferreira
,
I Ferrero
,
A Finoguenov
,
F Fornari
,
L Gabarra
,
K Ganga
(11)
,
J García-Bellido
,
T Gasparetto
,
V Gautard
(7)
,
E Gaztanaga
,
F Giacomini
,
F Gianotti
,
G Gozaliasl
,
C.M Gutierrez
,
A Hall
,
H Hildebrandt
,
J Hjorth
,
A. Jimenez Muñoz
(18)
,
S Joudaki
,
J.J.E Kajava
,
V Kansal
,
D Karagiannis
,
C.C Kirkpatrick
,
S Kruk
,
J Le Graet
(9)
,
L Legrand
,
J Lesgourgues
,
T.I Liaudat
(19)
,
A Loureiro
,
G Maggio
,
M Magliocchetti
,
F Mannucci
,
R Maoli
,
C.J.A.P Martins
,
Loïc Maurin
(6)
,
R.B Metcalf
,
M Migliaccio
,
M Miluzio
,
P Monaco
,
A Montoro
,
A Mora
,
C Moretti
,
G Morgante
,
S Nadathur
,
L Patrizii
,
V Popa
,
P Reimberg
(12)
,
I Risso
,
Pier-Francesco Rocci
(6)
,
M Sahlén
,
E Sarpa
,
A Schneider
,
M Sereno
,
A Silvestri
,
A Spurio Mancini
,
K Tanidis
,
C Tao
(9)
,
N Tessore
,
G Testera
,
R Teyssier
,
S Toft
,
S Tosi
,
A Troja
,
M Tucci
,
C Valieri
,
J Valiviita
,
D Vergani
,
G Verza
,
P Vielzeuf
(9)
,
N.A Walton
1
LUTH (UMR_8102) -
Laboratoire Univers et Théories
2 IRAP - Institut de recherche en astrophysique et planétologie
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 LAM - Laboratoire d'Astrophysique de Marseille
5 IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
6 IAS - Institut d'astrophysique spatiale
7 AIM (UMR7158 / UMR_E_9005 / UM_112) - Astrophysique Interprétation Modélisation
8 IJCLab - Laboratoire de Physique des 2 Infinis Irène Joliot-Curie
9 CPPM - Centre de Physique des Particules de Marseille
10 CC-IN2P3 - Centre de Calcul de l'IN2P3
11 APC (UMR_7164) - AstroParticule et Cosmologie
12 IAP - Institut d'Astrophysique de Paris
13 ESA - Agence Spatiale Européenne = European Space Agency
14 CNES - Centre National d'Études Spatiales [Toulouse]
15 LPP - Laboratoire Paul Painlevé - UMR 8524
16 LAGRANGE - Joseph Louis LAGRANGE
17 IAS - Institut d'astrophysique spatiale
18 LPSC - Laboratoire de Physique Subatomique et de Cosmologie
19 IRFU - Institut de Recherches sur les lois Fondamentales de l'Univers
2 IRAP - Institut de recherche en astrophysique et planétologie
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 LAM - Laboratoire d'Astrophysique de Marseille
5 IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
6 IAS - Institut d'astrophysique spatiale
7 AIM (UMR7158 / UMR_E_9005 / UM_112) - Astrophysique Interprétation Modélisation
8 IJCLab - Laboratoire de Physique des 2 Infinis Irène Joliot-Curie
9 CPPM - Centre de Physique des Particules de Marseille
10 CC-IN2P3 - Centre de Calcul de l'IN2P3
11 APC (UMR_7164) - AstroParticule et Cosmologie
12 IAP - Institut d'Astrophysique de Paris
13 ESA - Agence Spatiale Européenne = European Space Agency
14 CNES - Centre National d'Études Spatiales [Toulouse]
15 LPP - Laboratoire Paul Painlevé - UMR 8524
16 LAGRANGE - Joseph Louis LAGRANGE
17 IAS - Institut d'astrophysique spatiale
18 LPSC - Laboratoire de Physique Subatomique et de Cosmologie
19 IRFU - Institut de Recherches sur les lois Fondamentales de l'Univers
J Adamek
- Function : Author
B Fiorini
- Function : Author
M Baldi
- Function : Author
G Brando
- Function : Author
F Hassani
- Function : Author
K Koyama
- Function : Author
G Rácz
- Function : Author
H.-A Winther
- Function : Author
A Casalino
- Function : Author
C Hernández-Aguayo
- Function : Author
B Li
- Function : Author
D Potter
- Function : Author
E Altamura
- Function : Author
C Carbone
- Function : Author
C Giocoli
- Function : Author
D.F Mota
- Function : Author
A Pourtsidou
- Function : Author
A Amara
- Function : Author
S Andreon
- Function : Author
N Auricchio
- Function : Author
C Baccigalupi
- Function : Author
S Bardelli
- Function : Author
P Battaglia
- Function : Author
D Bonino
- Function : Author
E Branchini
- Function : Author
M Brescia
- Function : Author
J Brinchmann
- Function : Author
S Camera
- Function : Author
V Capobianco
- Function : Author
V.F Cardone
- Function : Author
J Carretero
- Function : Author
S Casas
- Function : Author
F.J Castander
- Function : Author
M Castellano
- Function : Author
G Castignani
- Function : Author
S Cavuoti
- Function : Author
A Cimatti
- Function : Author
C Colodro-Conde
- Function : Author
G Congedo
- Function : Author
C.J Conselice
- Function : Author
L Conversi
- Function : Author
F Courbin
- Function : Author
A da Silva
- Function : Author
H Degaudenzi
- Function : Author
G de Lucia
- Function : Author
Marian Douspis
- Function : Author
- PersonId : 751434
- IdHAL : marian-douspis
- ORCID : 0000-0003-4203-3954
- IdRef : 063461498
F Dubath
- Function : Author
X Dupac
- Function : Author
S Dusini
- Function : Author
M Farina
- Function : Author
P Fosalba
- Function : Author
M Frailis
- Function : Author
E Franceschi
- Function : Author
M Fumana
- Function : Author
S Galeotta
- Function : Author
B Gillis
- Function : Author
P Gómez-Alvarez
- Function : Author
A Grazian
- Function : Author
F Grupp
- Function : Author
L Guzzo
- Function : Author
S.V.H Haugan
- Function : Author
W Holmes
- Function : Author
F Hormuth
- Function : Author
A Hornstrup
- Function : Author
K Jahnke
- Function : Author
M Jhabvala
- Function : Author
B Joachimi
- Function : Author
E Keihänen
- Function : Author
A Kiessling
- Function : Author
M Kümmel
- Function : Author
M Kunz
- Function : Author
H Kurki-Suonio
- Function : Author
S Ligori
- Function : Author
P.B Lilje
- Function : Author
V Lindholm
- Function : Author
I Lloro
- Function : Author
E Maiorano
- Function : Author
O Mansutti
- Function : Author
O Marggraf
- Function : Author
K Markovic
- Function : Author
M Martinelli
- Function : Author
F Marulli
- Function : Author
R Massey
- Function : Author
E Medinaceli
- Function : Author
M Melchior
- Function : Author
M Meneghetti
- Function : Author
E Merlin
- Function : Author
G Meylan
- Function : Author
M Moresco
- Function : Author
L Moscardini
- Function : Author
C Neissner
- Function : Author
C Padilla
- Function : Author
S Paltani
- Function : Author
F Pasian
- Function : Author
K Pedersen
- Function : Author
W.J Percival
- Function : Author
G Polenta
- Function : Author
L.A Popa
- Function : Author
L Pozzetti
- Function : Author
F Raison
- Function : Author
A Renzi
- Function : Author
J Rhodes
- Function : Author
G Riccio
- Function : Author
E Romelli
- Function : Author
M Roncarelli
- Function : Author
R Saglia
- Function : Author
A.G Sánchez
- Function : Author
D Sapone
- Function : Author
B Sartoris
- Function : Author
M Schirmer
- Function : Author
T Schrabback
- Function : Author
G Seidel
- Function : Author
S Serrano
- Function : Author
C Sirignano
- Function : Author
G Sirri
- Function : Author
L Stanco
- Function : Author
J Steinwagner
- Function : Author
P Tallada-Crespí
- Function : Author
D Tavagnacco
- Function : Author
I Tereno
- Function : Author
R Toledo-Moreo
- Function : Author
F Torradeflot
- Function : Author
E.A Valentijn
- Function : Author
L Valenziano
- Function : Author
T Vassallo
- Function : Author
G Verdoes Kleijn
- Function : Author
A Veropalumbo
- Function : Author
Y Wang
- Function : Author
J Weller
- Function : Author
G Zamorani
- Function : Author
E Zucca
- Function : Author
A Biviano
- Function : Author
C Burigana
- Function : Author
M Calabrese
- Function : Author
D Di Ferdinando
- Function : Author
J.A. Escartin Vigo
- Function : Author
G Fabbian
- Function : Author
F Finelli
- Function : Author
J Gracia-Carpio
- Function : Author
S Matthew
- Function : Author
N Mauri
- Function : Author
A Pezzotta
- Function : Author
M Pöntinen
- Function : Author
M Tenti
- Function : Author
M Viel
- Function : Author
M Wiesmann
- Function : Author
Y Akrami
- Function : Author
V Allevato
- Function : Author
M Archidiacono
- Function : Author
F Atrio-Barandela
- Function : Author
A Balaguera-Antolinez
- Function : Author
M Ballardini
- Function : Author
H Böhringer
- Function : Author
S Borgani
- Function : Author
S Bruton
- Function : Author
A Calabro
- Function : Author
B Camacho Quevedo
- Function : Author
F Caro
- Function : Author
C.S Carvalho
- Function : Author
T Castro
- Function : Author
K.C Chambers
- Function : Author
S Contarini
- Function : Author
A.R Cooray
- Function : Author
G Desprez
- Function : Author
A Díaz-Sánchez
- Function : Author
J.J Diaz
- Function : Author
S Di Domizio
- Function : Author
Herve Dole
- Function : Author
- PersonId : 14907
- IdHAL : herve-dole
- ORCID : 0000-0002-9767-3839
- IdRef : 143106139
S Escoffier
- Function : Author
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- ORCID : 0000-0002-2847-7498
- IdRef : 068869215
A.G Ferrari
- Function : Author
P.G Ferreira
- Function : Author
I Ferrero
- Function : Author
A Finoguenov
- Function : Author
F Fornari
- Function : Author
L Gabarra
- Function : Author
J García-Bellido
- Function : Author
T Gasparetto
- Function : Author
E Gaztanaga
- Function : Author
F Giacomini
- Function : Author
F Gianotti
- Function : Author
G Gozaliasl
- Function : Author
C.M Gutierrez
- Function : Author
A Hall
- Function : Author
H Hildebrandt
- Function : Author
J Hjorth
- Function : Author
S Joudaki
- Function : Author
J.J.E Kajava
- Function : Author
V Kansal
- Function : Author
D Karagiannis
- Function : Author
C.C Kirkpatrick
- Function : Author
S Kruk
- Function : Author
L Legrand
- Function : Author
J Lesgourgues
- Function : Author
A Loureiro
- Function : Author
G Maggio
- Function : Author
M Magliocchetti
- Function : Author
F Mannucci
- Function : Author
R Maoli
- Function : Author
C.J.A.P Martins
- Function : Author
R.B Metcalf
- Function : Author
M Migliaccio
- Function : Author
M Miluzio
- Function : Author
P Monaco
- Function : Author
A Montoro
- Function : Author
A Mora
- Function : Author
C Moretti
- Function : Author
G Morgante
- Function : Author
S Nadathur
- Function : Author
L Patrizii
- Function : Author
V Popa
- Function : Author
I Risso
- Function : Author
M Sahlén
- Function : Author
E Sarpa
- Function : Author
A Schneider
- Function : Author
M Sereno
- Function : Author
A Silvestri
- Function : Author
A Spurio Mancini
- Function : Author
K Tanidis
- Function : Author
N Tessore
- Function : Author
G Testera
- Function : Author
R Teyssier
- Function : Author
S Toft
- Function : Author
S Tosi
- Function : Author
A Troja
- Function : Author
M Tucci
- Function : Author
C Valieri
- Function : Author
J Valiviita
- Function : Author
D Vergani
- Function : Author
G Verza
- Function : Author
N.A Walton
- Function : Author
Abstract
To constrain models beyond $\Lambda$CDM, the development of the Euclid analysis pipeline requires simulations that capture the nonlinear phenomenology of such models. We present an overview of numerical methods and $N$-body simulation codes developed to study the nonlinear regime of structure formation in alternative dark energy and modified gravity theories. We review a variety of numerical techniques and approximations employed in cosmological $N$-body simulations to model the complex phenomenology of scenarios beyond $\Lambda$CDM. This includes discussions on solving nonlinear field equations, accounting for fifth forces, and implementing screening mechanisms. Furthermore, we conduct a code comparison exercise to assess the reliability and convergence of different simulation codes across a range of models. Our analysis demonstrates a high degree of agreement among the outputs of different simulation codes, providing confidence in current numerical methods for modelling cosmic structure formation beyond $\Lambda$CDM. We highlight recent advances made in simulating the nonlinear scales of structure formation, which are essential for leveraging the full scientific potential of the forthcoming observational data from the Euclid mission.