Table 4 List of recent analytical and semi-empirical models of CMEs/ICMEs

P

EAM

Empirical; shock propagation

Paouris and Mavromichalaki (2017)

P

–

Empirical; shock propagation

Liu et al. (2017b)

P

–

Empirical; shock propagation

Corona-Romero et al. (2017)

P

ElEvo

DBM+2D ellipse; shock propagation

Möstl et al. (2015)

P

DBM/DBEM

DBM + 2D Cone; CME propagation

(Žic et al. 2015)

(Dumbović et al. 2018a, b) (ensemble)

P

PDBM

1D DBM; probabilistic; CME propagation

(Napoletano et al. 2018) (ensemble)

P

ElEvoHI

DBM+ElEvo+HI fitting; shock propagation

Rollett et al. 2016 (Amerstorfer et al. 2018) (ensemble)

P

ForeCAT

CME propagation; deflection; rotation

(Kay et al. 2013)

(Kay and Opher 2015)

P

–

Machine learning; CME propagation

(Sudar et al. 2016)

P

CAT-PUMA

Machine learning, shock propagation

Liu et al. 2018a

P

–

Oblique collision in 3D + constrain conservation of momentum

Mishra et al. (2016)

Mishra et al. (2017)

EC

–

triangulation

Liu et al. (2017a)

FM

–

Croissant + self-similar expansion + HM/fixed Phi

≥ size, orientation

Wood et al. (2017)

FM

3DCORE

Torus + self-similar expansion + DBM + Gold-Hoyle ≥ magnetic structure

Möstl et al. (2018)

FM

FRED

GCS + self-similar expansion + Lundquist ≥ magnetic structure

Gopalswamy et al. (2017c)

FM

FIDO

Torus + self-similar expansion + Lundquist ≥ magnetic structure

Kay et al. 2017; Kay and Gopalswamy (2018) (ensemble)

FM

FIDO-SIT

FIDO + forward model of shock and sheath

Kay et al. (2020a)

FM

FRi3D

Deformable croissant + Gold-Hoyle ≥ magnetic structure

Isavnin (2016)

FM

–

GCS + power-law expansion + DBM +(non) force free FR ≥ magnetic structure

(Patsourakos et al. 2016)

FM

ForbMod

GCS + power-law expansion ≥ Forbush decrease

(Dumbović et al. 2018a, b)

FM

FRIS

CME internal properties

Mishra and Wang 2018; Mishra et al. (2020)

FIT

–

Force free + circular-cylindrical + velocity modified;

Wang et al. (2015)

Wang et al. (2016d)

FIT

–

Force free + circular-cylindrical + B modified

Lepping et al. (2018)

FIT

–

Force free + circular-cylindrical + boundary pitch-angle treatments

Nishimura et al. (2019)

FIT

–

Force free; circular-cylindrical + varying prescribed twist

Vandas and Romashets (2019)

FIT

–

Non-force free; torus + non-uniform cross-section; plasma pressure + proton current density

Hidalgo and Nieves-Chinchilla 2012; Hidalgo (2014a, b)

Hidalgo (2016)

FIT

–

Non-force free; force distribution + circular-cylindrical; elliptic-cylindrical

Nieves-Chinchilla et al. 2016; Nieves-Chinchilla et al. (2018a, b)

GS

–

GS reconstruction + toroidal geometry

Hu et al. (2017)